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Finding the Fourth Proportional to 7,456.58, 11,171.91 and 3,987.62

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Solution

The fourth proportional to 7,456.58, 11,171.91 and 3,987.62 is: 5,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.58 : 11,171.91 = 3,987.62 : x
  2. Step 2: Convert to fraction form
    7,456.58/11,171.91 = 3,987.62/x
  3. Step 3: Cross multiply
    7,456.58x = 11,171.91 × 3,987.62
  4. Step 4: Simplify right side
    7,456.58x = 44,549,331.75
  5. Step 5: Solve for x
    x = 44,549,331.75/7,456.58
  6. Step 6: Final answer
    x = 5,974.50

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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.