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Finding the Fourth Proportional to 8,065.78, 12,098.35 and 2,222.23

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Solution

The fourth proportional to 8,065.78, 12,098.35 and 2,222.23 is: 3,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.78 : 12,098.35 = 2,222.23 : x
  2. Step 2: Convert to fraction form
    8,065.78/12,098.35 = 2,222.23/x
  3. Step 3: Cross multiply
    8,065.78x = 12,098.35 × 2,222.23
  4. Step 4: Simplify right side
    8,065.78x = 26,885,316.32
  5. Step 5: Solve for x
    x = 26,885,316.32/8,065.78
  6. Step 6: Final answer
    x = 3,333.26

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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.