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Finding the Fourth Proportional to 10,856.97, 14,980.68 and 6,381.62

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Solution

The fourth proportional to 10,856.97, 14,980.68 and 6,381.62 is: 8,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.97 : 14,980.68 = 6,381.62 : x
  2. Step 2: Convert to fraction form
    10,856.97/14,980.68 = 6,381.62/x
  3. Step 3: Cross multiply
    10,856.97x = 14,980.68 × 6,381.62
  4. Step 4: Simplify right side
    10,856.97x = 95,600,932.20
  5. Step 5: Solve for x
    x = 95,600,932.20/10,856.97
  6. Step 6: Final answer
    x = 8,805.49

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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.