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Finding the Fourth Proportional to 8,275.76, 12,415.68 and 2,432.34

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Solution

The fourth proportional to 8,275.76, 12,415.68 and 2,432.34 is: 3,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.76 : 12,415.68 = 2,432.34 : x
  2. Step 2: Convert to fraction form
    8,275.76/12,415.68 = 2,432.34/x
  3. Step 3: Cross multiply
    8,275.76x = 12,415.68 × 2,432.34
  4. Step 4: Simplify right side
    8,275.76x = 30,199,155.09
  5. Step 5: Solve for x
    x = 30,199,155.09/8,275.76
  6. Step 6: Final answer
    x = 3,649.11

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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.