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Finding the Fourth Proportional to 8,424.36, 12,626.46 and 4,725

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Solution

The fourth proportional to 8,424.36, 12,626.46 and 4,725 is: 7,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.36 : 12,626.46 = 4,725 : x
  2. Step 2: Convert to fraction form
    8,424.36/12,626.46 = 4,725/x
  3. Step 3: Cross multiply
    8,424.36x = 12,626.46 × 4,725
  4. Step 4: Simplify right side
    8,424.36x = 59,660,023.50
  5. Step 5: Solve for x
    x = 59,660,023.50/8,424.36
  6. Step 6: Final answer
    x = 7,081.85

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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.