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Finding the Fourth Proportional to 7,877.32, 11,815.98 and 6,040.24

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Solution

The fourth proportional to 7,877.32, 11,815.98 and 6,040.24 is: 9,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.32 : 11,815.98 = 6,040.24 : x
  2. Step 2: Convert to fraction form
    7,877.32/11,815.98 = 6,040.24/x
  3. Step 3: Cross multiply
    7,877.32x = 11,815.98 × 6,040.24
  4. Step 4: Simplify right side
    7,877.32x = 71,371,355.04
  5. Step 5: Solve for x
    x = 71,371,355.04/7,877.32
  6. Step 6: Final answer
    x = 9,060.36

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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.