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Finding the Fourth Proportional to 8,098.17, 12,126.59 and 6,457.11

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Solution

The fourth proportional to 8,098.17, 12,126.59 and 6,457.11 is: 9,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.17 : 12,126.59 = 6,457.11 : x
  2. Step 2: Convert to fraction form
    8,098.17/12,126.59 = 6,457.11/x
  3. Step 3: Cross multiply
    8,098.17x = 12,126.59 × 6,457.11
  4. Step 4: Simplify right side
    8,098.17x = 78,302,708.33
  5. Step 5: Solve for x
    x = 78,302,708.33/8,098.17
  6. Step 6: Final answer
    x = 9,669.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.