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Finding the Fourth Proportional to 10,614.52, 14,648 and 5,899.24

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Solution

The fourth proportional to 10,614.52, 14,648 and 5,899.24 is: 8,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.52 : 14,648 = 5,899.24 : x
  2. Step 2: Convert to fraction form
    10,614.52/14,648 = 5,899.24/x
  3. Step 3: Cross multiply
    10,614.52x = 14,648 × 5,899.24
  4. Step 4: Simplify right side
    10,614.52x = 86,412,067.52
  5. Step 5: Solve for x
    x = 86,412,067.52/10,614.52
  6. Step 6: Final answer
    x = 8,140.93

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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.