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Finding the Fourth Proportional to 10,342.86, 14,265.90 and 6,358.74

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Solution

The fourth proportional to 10,342.86, 14,265.90 and 6,358.74 is: 8,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.86 : 14,265.90 = 6,358.74 : x
  2. Step 2: Convert to fraction form
    10,342.86/14,265.90 = 6,358.74/x
  3. Step 3: Cross multiply
    10,342.86x = 14,265.90 × 6,358.74
  4. Step 4: Simplify right side
    10,342.86x = 90,713,148.97
  5. Step 5: Solve for x
    x = 90,713,148.97/10,342.86
  6. Step 6: Final answer
    x = 8,770.61

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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.