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Finding the Fourth Proportional to 10,442.59, 15,678.47 and 6,943.39

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Solution

The fourth proportional to 10,442.59, 15,678.47 and 6,943.39 is: 10,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.59 : 15,678.47 = 6,943.39 : x
  2. Step 2: Convert to fraction form
    10,442.59/15,678.47 = 6,943.39/x
  3. Step 3: Cross multiply
    10,442.59x = 15,678.47 × 6,943.39
  4. Step 4: Simplify right side
    10,442.59x = 108,861,731.81
  5. Step 5: Solve for x
    x = 108,861,731.81/10,442.59
  6. Step 6: Final answer
    x = 10,424.78

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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.