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Finding the Fourth Proportional to 8,065.71, 12,098.16 and 2,222.10

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Solution

The fourth proportional to 8,065.71, 12,098.16 and 2,222.10 is: 3,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.71 : 12,098.16 = 2,222.10 : x
  2. Step 2: Convert to fraction form
    8,065.71/12,098.16 = 2,222.10/x
  3. Step 3: Cross multiply
    8,065.71x = 12,098.16 × 2,222.10
  4. Step 4: Simplify right side
    8,065.71x = 26,883,321.34
  5. Step 5: Solve for x
    x = 26,883,321.34/8,065.71
  6. Step 6: Final answer
    x = 3,333.04

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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.