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Finding the Fourth Proportional to 8,098.59, 11,176.08 and 4,696.26

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Solution

The fourth proportional to 8,098.59, 11,176.08 and 4,696.26 is: 6,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.59 : 11,176.08 = 4,696.26 : x
  2. Step 2: Convert to fraction form
    8,098.59/11,176.08 = 4,696.26/x
  3. Step 3: Cross multiply
    8,098.59x = 11,176.08 × 4,696.26
  4. Step 4: Simplify right side
    8,098.59x = 52,485,777.46
  5. Step 5: Solve for x
    x = 52,485,777.46/8,098.59
  6. Step 6: Final answer
    x = 6,480.85

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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.