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Finding the Fourth Proportional to 6,932.52, 10,384.74 and 4,593.78

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Solution

The fourth proportional to 6,932.52, 10,384.74 and 4,593.78 is: 6,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.52 : 10,384.74 = 4,593.78 : x
  2. Step 2: Convert to fraction form
    6,932.52/10,384.74 = 4,593.78/x
  3. Step 3: Cross multiply
    6,932.52x = 10,384.74 × 4,593.78
  4. Step 4: Simplify right side
    6,932.52x = 47,705,210.92
  5. Step 5: Solve for x
    x = 47,705,210.92/6,932.52
  6. Step 6: Final answer
    x = 6,881.37

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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.