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Finding the Fourth Proportional to 8,283.68, 12,432 and 5,000.48

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Solution

The fourth proportional to 8,283.68, 12,432 and 5,000.48 is: 7,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.68 : 12,432 = 5,000.48 : x
  2. Step 2: Convert to fraction form
    8,283.68/12,432 = 5,000.48/x
  3. Step 3: Cross multiply
    8,283.68x = 12,432 × 5,000.48
  4. Step 4: Simplify right side
    8,283.68x = 62,165,967.36
  5. Step 5: Solve for x
    x = 62,165,967.36/8,283.68
  6. Step 6: Final answer
    x = 7,504.63

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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.