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Finding the Fourth Proportional to 10,631.57, 14,670.65 and 5,916.29

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Solution

The fourth proportional to 10,631.57, 14,670.65 and 5,916.29 is: 8,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.57 : 14,670.65 = 5,916.29 : x
  2. Step 2: Convert to fraction form
    10,631.57/14,670.65 = 5,916.29/x
  3. Step 3: Cross multiply
    10,631.57x = 14,670.65 × 5,916.29
  4. Step 4: Simplify right side
    10,631.57x = 86,795,761.33
  5. Step 5: Solve for x
    x = 86,795,761.33/10,631.57
  6. Step 6: Final answer
    x = 8,163.97

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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.