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Finding the Fourth Proportional to 8,498.62, 11,728.35 and 5,142.05

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Solution

The fourth proportional to 8,498.62, 11,728.35 and 5,142.05 is: 7,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.62 : 11,728.35 = 5,142.05 : x
  2. Step 2: Convert to fraction form
    8,498.62/11,728.35 = 5,142.05/x
  3. Step 3: Cross multiply
    8,498.62x = 11,728.35 × 5,142.05
  4. Step 4: Simplify right side
    8,498.62x = 60,307,677.77
  5. Step 5: Solve for x
    x = 60,307,677.77/8,498.62
  6. Step 6: Final answer
    x = 7,096.18

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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.