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Finding the Fourth Proportional to 8,398.32, 12,578.04 and 8,106.72

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Solution

The fourth proportional to 8,398.32, 12,578.04 and 8,106.72 is: 12,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.32 : 12,578.04 = 8,106.72 : x
  2. Step 2: Convert to fraction form
    8,398.32/12,578.04 = 8,106.72/x
  3. Step 3: Cross multiply
    8,398.32x = 12,578.04 × 8,106.72
  4. Step 4: Simplify right side
    8,398.32x = 101,966,648.43
  5. Step 5: Solve for x
    x = 101,966,648.43/8,398.32
  6. Step 6: Final answer
    x = 12,141.31

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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.