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Finding the Fourth Proportional to 7,925.46, 11,892.24 and 5,294.76

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Solution

The fourth proportional to 7,925.46, 11,892.24 and 5,294.76 is: 7,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.46 : 11,892.24 = 5,294.76 : x
  2. Step 2: Convert to fraction form
    7,925.46/11,892.24 = 5,294.76/x
  3. Step 3: Cross multiply
    7,925.46x = 11,892.24 × 5,294.76
  4. Step 4: Simplify right side
    7,925.46x = 62,966,556.66
  5. Step 5: Solve for x
    x = 62,966,556.66/7,925.46
  6. Step 6: Final answer
    x = 7,944.85

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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.