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Finding the Fourth Proportional to 10,614.38, 14,648.18 and 5,899.57

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Solution

The fourth proportional to 10,614.38, 14,648.18 and 5,899.57 is: 8,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.38 : 14,648.18 = 5,899.57 : x
  2. Step 2: Convert to fraction form
    10,614.38/14,648.18 = 5,899.57/x
  3. Step 3: Cross multiply
    10,614.38x = 14,648.18 × 5,899.57
  4. Step 4: Simplify right side
    10,614.38x = 86,417,897.16
  5. Step 5: Solve for x
    x = 86,417,897.16/10,614.38
  6. Step 6: Final answer
    x = 8,141.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.