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Finding the Fourth Proportional to 10,101.68, 13,939.39 and 7,450.55

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Solution

The fourth proportional to 10,101.68, 13,939.39 and 7,450.55 is: 10,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.68 : 13,939.39 = 7,450.55 : x
  2. Step 2: Convert to fraction form
    10,101.68/13,939.39 = 7,450.55/x
  3. Step 3: Cross multiply
    10,101.68x = 13,939.39 × 7,450.55
  4. Step 4: Simplify right side
    10,101.68x = 103,856,122.16
  5. Step 5: Solve for x
    x = 103,856,122.16/10,101.68
  6. Step 6: Final answer
    x = 10,281.07

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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.