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Finding the Fourth Proportional to 7,614.61, 10,508.09 and 4,211.62

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Solution

The fourth proportional to 7,614.61, 10,508.09 and 4,211.62 is: 5,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.61 : 10,508.09 = 4,211.62 : x
  2. Step 2: Convert to fraction form
    7,614.61/10,508.09 = 4,211.62/x
  3. Step 3: Cross multiply
    7,614.61x = 10,508.09 × 4,211.62
  4. Step 4: Simplify right side
    7,614.61x = 44,256,008.41
  5. Step 5: Solve for x
    x = 44,256,008.41/7,614.61
  6. Step 6: Final answer
    x = 5,811.99

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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.