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Finding the Fourth Proportional to 8,290.32, 12,418.83 and 4,117.71

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Solution

The fourth proportional to 8,290.32, 12,418.83 and 4,117.71 is: 6,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.32 : 12,418.83 = 4,117.71 : x
  2. Step 2: Convert to fraction form
    8,290.32/12,418.83 = 4,117.71/x
  3. Step 3: Cross multiply
    8,290.32x = 12,418.83 × 4,117.71
  4. Step 4: Simplify right side
    8,290.32x = 51,137,140.48
  5. Step 5: Solve for x
    x = 51,137,140.48/8,290.32
  6. Step 6: Final answer
    x = 6,168.30

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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.