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Finding the Fourth Proportional to 10,098.22, 13,889.18 and 8,104.40

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Solution

The fourth proportional to 10,098.22, 13,889.18 and 8,104.40 is: 11,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.22 : 13,889.18 = 8,104.40 : x
  2. Step 2: Convert to fraction form
    10,098.22/13,889.18 = 8,104.40/x
  3. Step 3: Cross multiply
    10,098.22x = 13,889.18 × 8,104.40
  4. Step 4: Simplify right side
    10,098.22x = 112,563,429.87
  5. Step 5: Solve for x
    x = 112,563,429.87/10,098.22
  6. Step 6: Final answer
    x = 11,146.86

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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.