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Finding the Fourth Proportional to 8,127.57, 12,137.10 and 7,712.42

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Solution

The fourth proportional to 8,127.57, 12,137.10 and 7,712.42 is: 11,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.57 : 12,137.10 = 7,712.42 : x
  2. Step 2: Convert to fraction form
    8,127.57/12,137.10 = 7,712.42/x
  3. Step 3: Cross multiply
    8,127.57x = 12,137.10 × 7,712.42
  4. Step 4: Simplify right side
    8,127.57x = 93,606,352.10
  5. Step 5: Solve for x
    x = 93,606,352.10/8,127.57
  6. Step 6: Final answer
    x = 11,517.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.