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Finding the Fourth Proportional to 10,614.25, 14,648.11 and 5,898.53

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Solution

The fourth proportional to 10,614.25, 14,648.11 and 5,898.53 is: 8,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.25 : 14,648.11 = 5,898.53 : x
  2. Step 2: Convert to fraction form
    10,614.25/14,648.11 = 5,898.53/x
  3. Step 3: Cross multiply
    10,614.25x = 14,648.11 × 5,898.53
  4. Step 4: Simplify right side
    10,614.25x = 86,402,338.15
  5. Step 5: Solve for x
    x = 86,402,338.15/10,614.25
  6. Step 6: Final answer
    x = 8,140.22

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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.