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Finding the Fourth Proportional to 11,540.74, 15,925.98 and 6,504.96

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Solution

The fourth proportional to 11,540.74, 15,925.98 and 6,504.96 is: 8,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.74 : 15,925.98 = 6,504.96 : x
  2. Step 2: Convert to fraction form
    11,540.74/15,925.98 = 6,504.96/x
  3. Step 3: Cross multiply
    11,540.74x = 15,925.98 × 6,504.96
  4. Step 4: Simplify right side
    11,540.74x = 103,597,862.86
  5. Step 5: Solve for x
    x = 103,597,862.86/11,540.74
  6. Step 6: Final answer
    x = 8,976.71

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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.