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Finding the Fourth Proportional to 7,104.24, 10,663.65 and 6,841.80

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Solution

The fourth proportional to 7,104.24, 10,663.65 and 6,841.80 is: 10,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.24 : 10,663.65 = 6,841.80 : x
  2. Step 2: Convert to fraction form
    7,104.24/10,663.65 = 6,841.80/x
  3. Step 3: Cross multiply
    7,104.24x = 10,663.65 × 6,841.80
  4. Step 4: Simplify right side
    7,104.24x = 72,958,560.57
  5. Step 5: Solve for x
    x = 72,958,560.57/7,104.24
  6. Step 6: Final answer
    x = 10,269.72

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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.