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Finding the Fourth Proportional to 8,462.63, 12,693.74 and 3,532.16

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Solution

The fourth proportional to 8,462.63, 12,693.74 and 3,532.16 is: 5,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.63 : 12,693.74 = 3,532.16 : x
  2. Step 2: Convert to fraction form
    8,462.63/12,693.74 = 3,532.16/x
  3. Step 3: Cross multiply
    8,462.63x = 12,693.74 × 3,532.16
  4. Step 4: Simplify right side
    8,462.63x = 44,836,239.55
  5. Step 5: Solve for x
    x = 44,836,239.55/8,462.63
  6. Step 6: Final answer
    x = 5,298.15

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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.