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Finding the Fourth Proportional to 28,276.68, 42,414.84 and 7,500

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Solution

The fourth proportional to 28,276.68, 42,414.84 and 7,500 is: 11,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,276.68 : 42,414.84 = 7,500 : x
  2. Step 2: Convert to fraction form
    28,276.68/42,414.84 = 7,500/x
  3. Step 3: Cross multiply
    28,276.68x = 42,414.84 × 7,500
  4. Step 4: Simplify right side
    28,276.68x = 318,111,300
  5. Step 5: Solve for x
    x = 318,111,300/28,276.68
  6. Step 6: Final answer
    x = 11,249.95

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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.