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Finding the Fourth Proportional to 8,532.68, 12,802.43 and 4,374.20

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Solution

The fourth proportional to 8,532.68, 12,802.43 and 4,374.20 is: 6,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.68 : 12,802.43 = 4,374.20 : x
  2. Step 2: Convert to fraction form
    8,532.68/12,802.43 = 4,374.20/x
  3. Step 3: Cross multiply
    8,532.68x = 12,802.43 × 4,374.20
  4. Step 4: Simplify right side
    8,532.68x = 56,000,432.25
  5. Step 5: Solve for x
    x = 56,000,432.25/8,532.68
  6. Step 6: Final answer
    x = 6,563.06

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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.