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Finding the Fourth Proportional to 7,569.80, 11,338.14 and 5,371.88

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Solution

The fourth proportional to 7,569.80, 11,338.14 and 5,371.88 is: 8,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.80 : 11,338.14 = 5,371.88 : x
  2. Step 2: Convert to fraction form
    7,569.80/11,338.14 = 5,371.88/x
  3. Step 3: Cross multiply
    7,569.80x = 11,338.14 × 5,371.88
  4. Step 4: Simplify right side
    7,569.80x = 60,907,127.50
  5. Step 5: Solve for x
    x = 60,907,127.50/7,569.80
  6. Step 6: Final answer
    x = 8,046.07

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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.