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Finding the Fourth Proportional to 7,760.44, 10,699.59 and 6,342.55

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Solution

The fourth proportional to 7,760.44, 10,699.59 and 6,342.55 is: 8,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.44 : 10,699.59 = 6,342.55 : x
  2. Step 2: Convert to fraction form
    7,760.44/10,699.59 = 6,342.55/x
  3. Step 3: Cross multiply
    7,760.44x = 10,699.59 × 6,342.55
  4. Step 4: Simplify right side
    7,760.44x = 67,862,684.55
  5. Step 5: Solve for x
    x = 67,862,684.55/7,760.44
  6. Step 6: Final answer
    x = 8,744.70

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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.