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Finding the Fourth Proportional to 8,428.65, 12,626.50 and 5,498.07

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Solution

The fourth proportional to 8,428.65, 12,626.50 and 5,498.07 is: 8,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.65 : 12,626.50 = 5,498.07 : x
  2. Step 2: Convert to fraction form
    8,428.65/12,626.50 = 5,498.07/x
  3. Step 3: Cross multiply
    8,428.65x = 12,626.50 × 5,498.07
  4. Step 4: Simplify right side
    8,428.65x = 69,421,380.86
  5. Step 5: Solve for x
    x = 69,421,380.86/8,428.65
  6. Step 6: Final answer
    x = 8,236.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.