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Finding the Fourth Proportional to 8,098.62, 11,176.91 and 4,741.23

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Solution

The fourth proportional to 8,098.62, 11,176.91 and 4,741.23 is: 6,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.62 : 11,176.91 = 4,741.23 : x
  2. Step 2: Convert to fraction form
    8,098.62/11,176.91 = 4,741.23/x
  3. Step 3: Cross multiply
    8,098.62x = 11,176.91 × 4,741.23
  4. Step 4: Simplify right side
    8,098.62x = 52,992,277.29
  5. Step 5: Solve for x
    x = 52,992,277.29/8,098.62
  6. Step 6: Final answer
    x = 6,543.37

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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.