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Finding the Fourth Proportional to 7,159.92, 9,881.28 and 4,016.40

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Solution

The fourth proportional to 7,159.92, 9,881.28 and 4,016.40 is: 5,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.92 : 9,881.28 = 4,016.40 : x
  2. Step 2: Convert to fraction form
    7,159.92/9,881.28 = 4,016.40/x
  3. Step 3: Cross multiply
    7,159.92x = 9,881.28 × 4,016.40
  4. Step 4: Simplify right side
    7,159.92x = 39,687,172.99
  5. Step 5: Solve for x
    x = 39,687,172.99/7,159.92
  6. Step 6: Final answer
    x = 5,542.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.