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Finding the Fourth Proportional to 11,540.98, 15,925.61 and 6,504.20

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Solution

The fourth proportional to 11,540.98, 15,925.61 and 6,504.20 is: 8,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.98 : 15,925.61 = 6,504.20 : x
  2. Step 2: Convert to fraction form
    11,540.98/15,925.61 = 6,504.20/x
  3. Step 3: Cross multiply
    11,540.98x = 15,925.61 × 6,504.20
  4. Step 4: Simplify right side
    11,540.98x = 103,583,348.92
  5. Step 5: Solve for x
    x = 103,583,348.92/11,540.98
  6. Step 6: Final answer
    x = 8,975.26

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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.