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Finding the Fourth Proportional to 10,365.92, 15,546.74 and 2,969.00

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Solution

The fourth proportional to 10,365.92, 15,546.74 and 2,969.00 is: 4,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.92 : 15,546.74 = 2,969.00 : x
  2. Step 2: Convert to fraction form
    10,365.92/15,546.74 = 2,969.00/x
  3. Step 3: Cross multiply
    10,365.92x = 15,546.74 × 2,969.00
  4. Step 4: Simplify right side
    10,365.92x = 46,158,200.75
  5. Step 5: Solve for x
    x = 46,158,200.75/10,365.92
  6. Step 6: Final answer
    x = 4,452.88

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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.