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Finding the Fourth Proportional to 8,424.76, 12,631.74 and 3,497.80

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Solution

The fourth proportional to 8,424.76, 12,631.74 and 3,497.80 is: 5,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.76 : 12,631.74 = 3,497.80 : x
  2. Step 2: Convert to fraction form
    8,424.76/12,631.74 = 3,497.80/x
  3. Step 3: Cross multiply
    8,424.76x = 12,631.74 × 3,497.80
  4. Step 4: Simplify right side
    8,424.76x = 44,183,300.17
  5. Step 5: Solve for x
    x = 44,183,300.17/8,424.76
  6. Step 6: Final answer
    x = 5,244.46

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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.