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Finding the Fourth Proportional to 8,463.95, 12,697.10 and 3,532.46

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Solution

The fourth proportional to 8,463.95, 12,697.10 and 3,532.46 is: 5,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.95 : 12,697.10 = 3,532.46 : x
  2. Step 2: Convert to fraction form
    8,463.95/12,697.10 = 3,532.46/x
  3. Step 3: Cross multiply
    8,463.95x = 12,697.10 × 3,532.46
  4. Step 4: Simplify right side
    8,463.95x = 44,851,929.96
  5. Step 5: Solve for x
    x = 44,851,929.96/8,463.95
  6. Step 6: Final answer
    x = 5,299.18

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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.