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Finding the Fourth Proportional to 10,765.29, 14,856.27 and 6,049.57

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Solution

The fourth proportional to 10,765.29, 14,856.27 and 6,049.57 is: 8,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.29 : 14,856.27 = 6,049.57 : x
  2. Step 2: Convert to fraction form
    10,765.29/14,856.27 = 6,049.57/x
  3. Step 3: Cross multiply
    10,765.29x = 14,856.27 × 6,049.57
  4. Step 4: Simplify right side
    10,765.29x = 89,874,045.30
  5. Step 5: Solve for x
    x = 89,874,045.30/10,765.29
  6. Step 6: Final answer
    x = 8,348.50

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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.