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Finding the Fourth Proportional to 10,233.80, 15,342.60 and 5,616.80

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Solution

The fourth proportional to 10,233.80, 15,342.60 and 5,616.80 is: 8,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.80 : 15,342.60 = 5,616.80 : x
  2. Step 2: Convert to fraction form
    10,233.80/15,342.60 = 5,616.80/x
  3. Step 3: Cross multiply
    10,233.80x = 15,342.60 × 5,616.80
  4. Step 4: Simplify right side
    10,233.80x = 86,176,315.68
  5. Step 5: Solve for x
    x = 86,176,315.68/10,233.80
  6. Step 6: Final answer
    x = 8,420.75

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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.