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Finding the Fourth Proportional to 7,987.41, 12,024.25 and 7,183.69

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Solution

The fourth proportional to 7,987.41, 12,024.25 and 7,183.69 is: 10,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.41 : 12,024.25 = 7,183.69 : x
  2. Step 2: Convert to fraction form
    7,987.41/12,024.25 = 7,183.69/x
  3. Step 3: Cross multiply
    7,987.41x = 12,024.25 × 7,183.69
  4. Step 4: Simplify right side
    7,987.41x = 86,378,436.46
  5. Step 5: Solve for x
    x = 86,378,436.46/7,987.41
  6. Step 6: Final answer
    x = 10,814.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.