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Finding the Fourth Proportional to 8,924.14, 13,319.78 and 7,732.86

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Solution

The fourth proportional to 8,924.14, 13,319.78 and 7,732.86 is: 11,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.14 : 13,319.78 = 7,732.86 : x
  2. Step 2: Convert to fraction form
    8,924.14/13,319.78 = 7,732.86/x
  3. Step 3: Cross multiply
    8,924.14x = 13,319.78 × 7,732.86
  4. Step 4: Simplify right side
    8,924.14x = 102,999,993.97
  5. Step 5: Solve for x
    x = 102,999,993.97/8,924.14
  6. Step 6: Final answer
    x = 11,541.73

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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.