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Finding the Fourth Proportional to 8,184.85, 12,258.82 and 5,407.70

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Solution

The fourth proportional to 8,184.85, 12,258.82 and 5,407.70 is: 8,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.85 : 12,258.82 = 5,407.70 : x
  2. Step 2: Convert to fraction form
    8,184.85/12,258.82 = 5,407.70/x
  3. Step 3: Cross multiply
    8,184.85x = 12,258.82 × 5,407.70
  4. Step 4: Simplify right side
    8,184.85x = 66,292,002.89
  5. Step 5: Solve for x
    x = 66,292,002.89/8,184.85
  6. Step 6: Final answer
    x = 8,099.36

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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.