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Finding the Fourth Proportional to 10,761.57, 14,855.67 and 6,283.62

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Solution

The fourth proportional to 10,761.57, 14,855.67 and 6,283.62 is: 8,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.57 : 14,855.67 = 6,283.62 : x
  2. Step 2: Convert to fraction form
    10,761.57/14,855.67 = 6,283.62/x
  3. Step 3: Cross multiply
    10,761.57x = 14,855.67 × 6,283.62
  4. Step 4: Simplify right side
    10,761.57x = 93,347,385.13
  5. Step 5: Solve for x
    x = 93,347,385.13/10,761.57
  6. Step 6: Final answer
    x = 8,674.14

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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.