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Finding the Fourth Proportional to 10,229.76, 15,344.16 and 3,656.40

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Solution

The fourth proportional to 10,229.76, 15,344.16 and 3,656.40 is: 5,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.76 : 15,344.16 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    10,229.76/15,344.16 = 3,656.40/x
  3. Step 3: Cross multiply
    10,229.76x = 15,344.16 × 3,656.40
  4. Step 4: Simplify right side
    10,229.76x = 56,104,386.62
  5. Step 5: Solve for x
    x = 56,104,386.62/10,229.76
  6. Step 6: Final answer
    x = 5,484.43

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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.