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Finding the Fourth Proportional to 7,852.80, 10,825.66 and 5,613.86

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Solution

The fourth proportional to 7,852.80, 10,825.66 and 5,613.86 is: 7,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.80 : 10,825.66 = 5,613.86 : x
  2. Step 2: Convert to fraction form
    7,852.80/10,825.66 = 5,613.86/x
  3. Step 3: Cross multiply
    7,852.80x = 10,825.66 × 5,613.86
  4. Step 4: Simplify right side
    7,852.80x = 60,773,773.73
  5. Step 5: Solve for x
    x = 60,773,773.73/7,852.80
  6. Step 6: Final answer
    x = 7,739.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.