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Finding the Fourth Proportional to 8,542.11, 11,787.82 and 5,005.24

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Solution

The fourth proportional to 8,542.11, 11,787.82 and 5,005.24 is: 6,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.11 : 11,787.82 = 5,005.24 : x
  2. Step 2: Convert to fraction form
    8,542.11/11,787.82 = 5,005.24/x
  3. Step 3: Cross multiply
    8,542.11x = 11,787.82 × 5,005.24
  4. Step 4: Simplify right side
    8,542.11x = 59,000,868.18
  5. Step 5: Solve for x
    x = 59,000,868.18/8,542.11
  6. Step 6: Final answer
    x = 6,907.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.