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Finding the Fourth Proportional to 8,290.20, 12,464.10 and 8,117.40

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Solution

The fourth proportional to 8,290.20, 12,464.10 and 8,117.40 is: 12,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.20 : 12,464.10 = 8,117.40 : x
  2. Step 2: Convert to fraction form
    8,290.20/12,464.10 = 8,117.40/x
  3. Step 3: Cross multiply
    8,290.20x = 12,464.10 × 8,117.40
  4. Step 4: Simplify right side
    8,290.20x = 101,176,085.34
  5. Step 5: Solve for x
    x = 101,176,085.34/8,290.20
  6. Step 6: Final answer
    x = 12,204.30

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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.