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Finding the Fourth Proportional to 10,125.47, 13,981.94 and 6,355.17

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Solution

The fourth proportional to 10,125.47, 13,981.94 and 6,355.17 is: 8,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.47 : 13,981.94 = 6,355.17 : x
  2. Step 2: Convert to fraction form
    10,125.47/13,981.94 = 6,355.17/x
  3. Step 3: Cross multiply
    10,125.47x = 13,981.94 × 6,355.17
  4. Step 4: Simplify right side
    10,125.47x = 88,857,573.85
  5. Step 5: Solve for x
    x = 88,857,573.85/10,125.47
  6. Step 6: Final answer
    x = 8,775.65

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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.