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Finding the Fourth Proportional to 7,160.28, 9,881.16 and 4,016.46

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Solution

The fourth proportional to 7,160.28, 9,881.16 and 4,016.46 is: 5,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.28 : 9,881.16 = 4,016.46 : x
  2. Step 2: Convert to fraction form
    7,160.28/9,881.16 = 4,016.46/x
  3. Step 3: Cross multiply
    7,160.28x = 9,881.16 × 4,016.46
  4. Step 4: Simplify right side
    7,160.28x = 39,687,283.89
  5. Step 5: Solve for x
    x = 39,687,283.89/7,160.28
  6. Step 6: Final answer
    x = 5,542.70

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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.