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Finding the Fourth Proportional to 8,386.20, 12,584.16 and 3,454.92

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Solution

The fourth proportional to 8,386.20, 12,584.16 and 3,454.92 is: 5,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.20 : 12,584.16 = 3,454.92 : x
  2. Step 2: Convert to fraction form
    8,386.20/12,584.16 = 3,454.92/x
  3. Step 3: Cross multiply
    8,386.20x = 12,584.16 × 3,454.92
  4. Step 4: Simplify right side
    8,386.20x = 43,477,266.07
  5. Step 5: Solve for x
    x = 43,477,266.07/8,386.20
  6. Step 6: Final answer
    x = 5,184.38

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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.