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Finding the Fourth Proportional to 7,757.36, 10,700.66 and 5,630.43

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Solution

The fourth proportional to 7,757.36, 10,700.66 and 5,630.43 is: 7,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.36 : 10,700.66 = 5,630.43 : x
  2. Step 2: Convert to fraction form
    7,757.36/10,700.66 = 5,630.43/x
  3. Step 3: Cross multiply
    7,757.36x = 10,700.66 × 5,630.43
  4. Step 4: Simplify right side
    7,757.36x = 60,249,288.93
  5. Step 5: Solve for x
    x = 60,249,288.93/7,757.36
  6. Step 6: Final answer
    x = 7,766.73

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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.