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Finding the Fourth Proportional to 10,499.76, 15,749.64 and 8,050.32

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Solution

The fourth proportional to 10,499.76, 15,749.64 and 8,050.32 is: 12,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.76 : 15,749.64 = 8,050.32 : x
  2. Step 2: Convert to fraction form
    10,499.76/15,749.64 = 8,050.32/x
  3. Step 3: Cross multiply
    10,499.76x = 15,749.64 × 8,050.32
  4. Step 4: Simplify right side
    10,499.76x = 126,789,641.88
  5. Step 5: Solve for x
    x = 126,789,641.88/10,499.76
  6. Step 6: Final answer
    x = 12,075.48

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.