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Finding the Fourth Proportional to 8,098.30, 11,175.62 and 4,740.44

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Solution

The fourth proportional to 8,098.30, 11,175.62 and 4,740.44 is: 6,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.30 : 11,175.62 = 4,740.44 : x
  2. Step 2: Convert to fraction form
    8,098.30/11,175.62 = 4,740.44/x
  3. Step 3: Cross multiply
    8,098.30x = 11,175.62 × 4,740.44
  4. Step 4: Simplify right side
    8,098.30x = 52,977,366.02
  5. Step 5: Solve for x
    x = 52,977,366.02/8,098.30
  6. Step 6: Final answer
    x = 6,541.79

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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.