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Finding the Fourth Proportional to 6,517.60, 9,726.20 and 5,365.60

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Solution

The fourth proportional to 6,517.60, 9,726.20 and 5,365.60 is: 8,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.60 : 9,726.20 = 5,365.60 : x
  2. Step 2: Convert to fraction form
    6,517.60/9,726.20 = 5,365.60/x
  3. Step 3: Cross multiply
    6,517.60x = 9,726.20 × 5,365.60
  4. Step 4: Simplify right side
    6,517.60x = 52,186,898.72
  5. Step 5: Solve for x
    x = 52,186,898.72/6,517.60
  6. Step 6: Final answer
    x = 8,007.07

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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.