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Finding the Fourth Proportional to 8,344.50, 12,508.51 and 4,648.47

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Solution

The fourth proportional to 8,344.50, 12,508.51 and 4,648.47 is: 6,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.50 : 12,508.51 = 4,648.47 : x
  2. Step 2: Convert to fraction form
    8,344.50/12,508.51 = 4,648.47/x
  3. Step 3: Cross multiply
    8,344.50x = 12,508.51 × 4,648.47
  4. Step 4: Simplify right side
    8,344.50x = 58,145,433.48
  5. Step 5: Solve for x
    x = 58,145,433.48/8,344.50
  6. Step 6: Final answer
    x = 6,968.11

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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.