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Finding the Fourth Proportional to 7,780.25, 11,613.98 and 7,202.12

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Solution

The fourth proportional to 7,780.25, 11,613.98 and 7,202.12 is: 10,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.25 : 11,613.98 = 7,202.12 : x
  2. Step 2: Convert to fraction form
    7,780.25/11,613.98 = 7,202.12/x
  3. Step 3: Cross multiply
    7,780.25x = 11,613.98 × 7,202.12
  4. Step 4: Simplify right side
    7,780.25x = 83,645,237.57
  5. Step 5: Solve for x
    x = 83,645,237.57/7,780.25
  6. Step 6: Final answer
    x = 10,750.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.