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Finding the Fourth Proportional to 7,538.80, 11,295.40 and 6,233.20

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Solution

The fourth proportional to 7,538.80, 11,295.40 and 6,233.20 is: 9,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.80 : 11,295.40 = 6,233.20 : x
  2. Step 2: Convert to fraction form
    7,538.80/11,295.40 = 6,233.20/x
  3. Step 3: Cross multiply
    7,538.80x = 11,295.40 × 6,233.20
  4. Step 4: Simplify right side
    7,538.80x = 70,406,487.28
  5. Step 5: Solve for x
    x = 70,406,487.28/7,538.80
  6. Step 6: Final answer
    x = 9,339.22

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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.