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Finding the Fourth Proportional to 10,309.60, 14,227.14 and 5,593.90

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Solution

The fourth proportional to 10,309.60, 14,227.14 and 5,593.90 is: 7,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.60 : 14,227.14 = 5,593.90 : x
  2. Step 2: Convert to fraction form
    10,309.60/14,227.14 = 5,593.90/x
  3. Step 3: Cross multiply
    10,309.60x = 14,227.14 × 5,593.90
  4. Step 4: Simplify right side
    10,309.60x = 79,585,198.45
  5. Step 5: Solve for x
    x = 79,585,198.45/10,309.60
  6. Step 6: Final answer
    x = 7,719.52

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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.