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Finding the Fourth Proportional to 8,260.66, 12,397.08 and 5,486.42

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Solution

The fourth proportional to 8,260.66, 12,397.08 and 5,486.42 is: 8,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.66 : 12,397.08 = 5,486.42 : x
  2. Step 2: Convert to fraction form
    8,260.66/12,397.08 = 5,486.42/x
  3. Step 3: Cross multiply
    8,260.66x = 12,397.08 × 5,486.42
  4. Step 4: Simplify right side
    8,260.66x = 68,015,587.65
  5. Step 5: Solve for x
    x = 68,015,587.65/8,260.66
  6. Step 6: Final answer
    x = 8,233.67

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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.