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Finding the Fourth Proportional to 28,543.74, 42,815.61 and 7,767.24

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Solution

The fourth proportional to 28,543.74, 42,815.61 and 7,767.24 is: 11,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543.74 : 42,815.61 = 7,767.24 : x
  2. Step 2: Convert to fraction form
    28,543.74/42,815.61 = 7,767.24/x
  3. Step 3: Cross multiply
    28,543.74x = 42,815.61 × 7,767.24
  4. Step 4: Simplify right side
    28,543.74x = 332,559,118.62
  5. Step 5: Solve for x
    x = 332,559,118.62/28,543.74
  6. Step 6: Final answer
    x = 11,650.86

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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.