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Finding the Fourth Proportional to 7,760.43, 11,642.45 and 2,829.87

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Solution

The fourth proportional to 7,760.43, 11,642.45 and 2,829.87 is: 4,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.43 : 11,642.45 = 2,829.87 : x
  2. Step 2: Convert to fraction form
    7,760.43/11,642.45 = 2,829.87/x
  3. Step 3: Cross multiply
    7,760.43x = 11,642.45 × 2,829.87
  4. Step 4: Simplify right side
    7,760.43x = 32,946,605.83
  5. Step 5: Solve for x
    x = 32,946,605.83/7,760.43
  6. Step 6: Final answer
    x = 4,245.46

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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.