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Finding the Fourth Proportional to 10,780.61, 14,876.37 and 6,000.17

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Solution

The fourth proportional to 10,780.61, 14,876.37 and 6,000.17 is: 8,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.61 : 14,876.37 = 6,000.17 : x
  2. Step 2: Convert to fraction form
    10,780.61/14,876.37 = 6,000.17/x
  3. Step 3: Cross multiply
    10,780.61x = 14,876.37 × 6,000.17
  4. Step 4: Simplify right side
    10,780.61x = 89,260,674.60
  5. Step 5: Solve for x
    x = 89,260,674.60/10,780.61
  6. Step 6: Final answer
    x = 8,279.75

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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.