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Finding the Fourth Proportional to 8,272.90, 12,411.38 and 4,114.87

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Solution

The fourth proportional to 8,272.90, 12,411.38 and 4,114.87 is: 6,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.90 : 12,411.38 = 4,114.87 : x
  2. Step 2: Convert to fraction form
    8,272.90/12,411.38 = 4,114.87/x
  3. Step 3: Cross multiply
    8,272.90x = 12,411.38 × 4,114.87
  4. Step 4: Simplify right side
    8,272.90x = 51,071,215.22
  5. Step 5: Solve for x
    x = 51,071,215.22/8,272.90
  6. Step 6: Final answer
    x = 6,173.31

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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.