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Finding the Fourth Proportional to 8,432.76, 12,634.56 and 6,559.23

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Solution

The fourth proportional to 8,432.76, 12,634.56 and 6,559.23 is: 9,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.76 : 12,634.56 = 6,559.23 : x
  2. Step 2: Convert to fraction form
    8,432.76/12,634.56 = 6,559.23/x
  3. Step 3: Cross multiply
    8,432.76x = 12,634.56 × 6,559.23
  4. Step 4: Simplify right side
    8,432.76x = 82,872,984.99
  5. Step 5: Solve for x
    x = 82,872,984.99/8,432.76
  6. Step 6: Final answer
    x = 9,827.50

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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.