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Finding the Fourth Proportional to 11,540.32, 15,924.96 and 6,504.76

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Solution

The fourth proportional to 11,540.32, 15,924.96 and 6,504.76 is: 8,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.32 : 15,924.96 = 6,504.76 : x
  2. Step 2: Convert to fraction form
    11,540.32/15,924.96 = 6,504.76/x
  3. Step 3: Cross multiply
    11,540.32x = 15,924.96 × 6,504.76
  4. Step 4: Simplify right side
    11,540.32x = 103,588,042.81
  5. Step 5: Solve for x
    x = 103,588,042.81/11,540.32
  6. Step 6: Final answer
    x = 8,976.18

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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.