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Finding the Fourth Proportional to 8,432.94, 12,649.95 and 2,886.87

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Solution

The fourth proportional to 8,432.94, 12,649.95 and 2,886.87 is: 4,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.94 : 12,649.95 = 2,886.87 : x
  2. Step 2: Convert to fraction form
    8,432.94/12,649.95 = 2,886.87/x
  3. Step 3: Cross multiply
    8,432.94x = 12,649.95 × 2,886.87
  4. Step 4: Simplify right side
    8,432.94x = 36,518,761.16
  5. Step 5: Solve for x
    x = 36,518,761.16/8,432.94
  6. Step 6: Final answer
    x = 4,330.49

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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.