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Finding the Fourth Proportional to 10,278.80, 14,172.91 and 7,593.90

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Solution

The fourth proportional to 10,278.80, 14,172.91 and 7,593.90 is: 10,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.80 : 14,172.91 = 7,593.90 : x
  2. Step 2: Convert to fraction form
    10,278.80/14,172.91 = 7,593.90/x
  3. Step 3: Cross multiply
    10,278.80x = 14,172.91 × 7,593.90
  4. Step 4: Simplify right side
    10,278.80x = 107,627,661.25
  5. Step 5: Solve for x
    x = 107,627,661.25/10,278.80
  6. Step 6: Final answer
    x = 10,470.84

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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.