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Finding the Fourth Proportional to 8,498.27, 11,731.55 and 5,096.90

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Solution

The fourth proportional to 8,498.27, 11,731.55 and 5,096.90 is: 7,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.27 : 11,731.55 = 5,096.90 : x
  2. Step 2: Convert to fraction form
    8,498.27/11,731.55 = 5,096.90/x
  3. Step 3: Cross multiply
    8,498.27x = 11,731.55 × 5,096.90
  4. Step 4: Simplify right side
    8,498.27x = 59,794,541.04
  5. Step 5: Solve for x
    x = 59,794,541.04/8,498.27
  6. Step 6: Final answer
    x = 7,036.08

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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.