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Finding the Fourth Proportional to 10,614.52, 14,648.04 and 5,898.80

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Solution

The fourth proportional to 10,614.52, 14,648.04 and 5,898.80 is: 8,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.52 : 14,648.04 = 5,898.80 : x
  2. Step 2: Convert to fraction form
    10,614.52/14,648.04 = 5,898.80/x
  3. Step 3: Cross multiply
    10,614.52x = 14,648.04 × 5,898.80
  4. Step 4: Simplify right side
    10,614.52x = 86,405,812.58
  5. Step 5: Solve for x
    x = 86,405,812.58/10,614.52
  6. Step 6: Final answer
    x = 8,140.34

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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.