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Finding the Fourth Proportional to 10,772.67, 14,861.30 and 6,296.61

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Solution

The fourth proportional to 10,772.67, 14,861.30 and 6,296.61 is: 8,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.67 : 14,861.30 = 6,296.61 : x
  2. Step 2: Convert to fraction form
    10,772.67/14,861.30 = 6,296.61/x
  3. Step 3: Cross multiply
    10,772.67x = 14,861.30 × 6,296.61
  4. Step 4: Simplify right side
    10,772.67x = 93,575,778.71
  5. Step 5: Solve for x
    x = 93,575,778.71/10,772.67
  6. Step 6: Final answer
    x = 8,686.41

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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.