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Finding the Fourth Proportional to 28,344.87, 42,514.07 and 7,569.99

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Solution

The fourth proportional to 28,344.87, 42,514.07 and 7,569.99 is: 11,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,344.87 : 42,514.07 = 7,569.99 : x
  2. Step 2: Convert to fraction form
    28,344.87/42,514.07 = 7,569.99/x
  3. Step 3: Cross multiply
    28,344.87x = 42,514.07 × 7,569.99
  4. Step 4: Simplify right side
    28,344.87x = 321,831,046.91
  5. Step 5: Solve for x
    x = 321,831,046.91/28,344.87
  6. Step 6: Final answer
    x = 11,354.12

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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.