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Finding the Fourth Proportional to 10,509.50, 15,764.74 and 3,490.16

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Solution

The fourth proportional to 10,509.50, 15,764.74 and 3,490.16 is: 5,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.50 : 15,764.74 = 3,490.16 : x
  2. Step 2: Convert to fraction form
    10,509.50/15,764.74 = 3,490.16/x
  3. Step 3: Cross multiply
    10,509.50x = 15,764.74 × 3,490.16
  4. Step 4: Simplify right side
    10,509.50x = 55,021,464.96
  5. Step 5: Solve for x
    x = 55,021,464.96/10,509.50
  6. Step 6: Final answer
    x = 5,235.40

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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.