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Finding the Fourth Proportional to 7,614.86, 10,508.91 and 4,257.66

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Solution

The fourth proportional to 7,614.86, 10,508.91 and 4,257.66 is: 5,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.86 : 10,508.91 = 4,257.66 : x
  2. Step 2: Convert to fraction form
    7,614.86/10,508.91 = 4,257.66/x
  3. Step 3: Cross multiply
    7,614.86x = 10,508.91 × 4,257.66
  4. Step 4: Simplify right side
    7,614.86x = 44,743,425.12
  5. Step 5: Solve for x
    x = 44,743,425.12/7,614.86
  6. Step 6: Final answer
    x = 5,875.80

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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.