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Finding the Fourth Proportional to 10,432.64, 15,650.40 and 3,509.12

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Solution

The fourth proportional to 10,432.64, 15,650.40 and 3,509.12 is: 5,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.64 : 15,650.40 = 3,509.12 : x
  2. Step 2: Convert to fraction form
    10,432.64/15,650.40 = 3,509.12/x
  3. Step 3: Cross multiply
    10,432.64x = 15,650.40 × 3,509.12
  4. Step 4: Simplify right side
    10,432.64x = 54,919,131.65
  5. Step 5: Solve for x
    x = 54,919,131.65/10,432.64
  6. Step 6: Final answer
    x = 5,264.16

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