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Finding the Fourth Proportional to 7,431.54, 11,139.82 and 4,660.17

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Solution

The fourth proportional to 7,431.54, 11,139.82 and 4,660.17 is: 6,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.54 : 11,139.82 = 4,660.17 : x
  2. Step 2: Convert to fraction form
    7,431.54/11,139.82 = 4,660.17/x
  3. Step 3: Cross multiply
    7,431.54x = 11,139.82 × 4,660.17
  4. Step 4: Simplify right side
    7,431.54x = 51,913,454.97
  5. Step 5: Solve for x
    x = 51,913,454.97/7,431.54
  6. Step 6: Final answer
    x = 6,985.56

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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.