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Finding the Fourth Proportional to 10,287.61, 15,422.15 and 3,712.25

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Solution

The fourth proportional to 10,287.61, 15,422.15 and 3,712.25 is: 5,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.61 : 15,422.15 = 3,712.25 : x
  2. Step 2: Convert to fraction form
    10,287.61/15,422.15 = 3,712.25/x
  3. Step 3: Cross multiply
    10,287.61x = 15,422.15 × 3,712.25
  4. Step 4: Simplify right side
    10,287.61x = 57,250,924.17
  5. Step 5: Solve for x
    x = 57,250,924.17/10,287.61
  6. Step 6: Final answer
    x = 5,565.04

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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.