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Finding the Fourth Proportional to 10,356.80, 15,524.26 and 7,433.52

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Solution

The fourth proportional to 10,356.80, 15,524.26 and 7,433.52 is: 11,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.80 : 15,524.26 = 7,433.52 : x
  2. Step 2: Convert to fraction form
    10,356.80/15,524.26 = 7,433.52/x
  3. Step 3: Cross multiply
    10,356.80x = 15,524.26 × 7,433.52
  4. Step 4: Simplify right side
    10,356.80x = 115,399,897.20
  5. Step 5: Solve for x
    x = 115,399,897.20/10,356.80
  6. Step 6: Final answer
    x = 11,142.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.