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Finding the Fourth Proportional to 8,235.20, 11,371.20 and 5,404.80

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Solution

The fourth proportional to 8,235.20, 11,371.20 and 5,404.80 is: 7,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.20 : 11,371.20 = 5,404.80 : x
  2. Step 2: Convert to fraction form
    8,235.20/11,371.20 = 5,404.80/x
  3. Step 3: Cross multiply
    8,235.20x = 11,371.20 × 5,404.80
  4. Step 4: Simplify right side
    8,235.20x = 61,459,061.76
  5. Step 5: Solve for x
    x = 61,459,061.76/8,235.20
  6. Step 6: Final answer
    x = 7,462.97

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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.