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Finding the Fourth Proportional to 8,098.45, 11,175.88 and 4,696.12

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Solution

The fourth proportional to 8,098.45, 11,175.88 and 4,696.12 is: 6,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.45 : 11,175.88 = 4,696.12 : x
  2. Step 2: Convert to fraction form
    8,098.45/11,175.88 = 4,696.12/x
  3. Step 3: Cross multiply
    8,098.45x = 11,175.88 × 4,696.12
  4. Step 4: Simplify right side
    8,098.45x = 52,483,217.71
  5. Step 5: Solve for x
    x = 52,483,217.71/8,098.45
  6. Step 6: Final answer
    x = 6,480.65

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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.