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Finding the Fourth Proportional to 10,279.66, 15,426.87 and 7,689.46

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Solution

The fourth proportional to 10,279.66, 15,426.87 and 7,689.46 is: 11,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.66 : 15,426.87 = 7,689.46 : x
  2. Step 2: Convert to fraction form
    10,279.66/15,426.87 = 7,689.46/x
  3. Step 3: Cross multiply
    10,279.66x = 15,426.87 × 7,689.46
  4. Step 4: Simplify right side
    10,279.66x = 118,624,299.79
  5. Step 5: Solve for x
    x = 118,624,299.79/10,279.66
  6. Step 6: Final answer
    x = 11,539.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.