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Finding the Fourth Proportional to 10,455.90, 14,428.81 and 5,979.57

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Solution

The fourth proportional to 10,455.90, 14,428.81 and 5,979.57 is: 8,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.90 : 14,428.81 = 5,979.57 : x
  2. Step 2: Convert to fraction form
    10,455.90/14,428.81 = 5,979.57/x
  3. Step 3: Cross multiply
    10,455.90x = 14,428.81 × 5,979.57
  4. Step 4: Simplify right side
    10,455.90x = 86,278,079.41
  5. Step 5: Solve for x
    x = 86,278,079.41/10,455.90
  6. Step 6: Final answer
    x = 8,251.62

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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.