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Finding the Fourth Proportional to 28,542.48, 42,809.04 and 7,767.60

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Solution

The fourth proportional to 28,542.48, 42,809.04 and 7,767.60 is: 11,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.48 : 42,809.04 = 7,767.60 : x
  2. Step 2: Convert to fraction form
    28,542.48/42,809.04 = 7,767.60/x
  3. Step 3: Cross multiply
    28,542.48x = 42,809.04 × 7,767.60
  4. Step 4: Simplify right side
    28,542.48x = 332,523,499.10
  5. Step 5: Solve for x
    x = 332,523,499.10/28,542.48
  6. Step 6: Final answer
    x = 11,650.13

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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.