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Finding the Fourth Proportional to 7,324.98, 10,987.50 and 1,778.30

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Solution

The fourth proportional to 7,324.98, 10,987.50 and 1,778.30 is: 2,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.98 : 10,987.50 = 1,778.30 : x
  2. Step 2: Convert to fraction form
    7,324.98/10,987.50 = 1,778.30/x
  3. Step 3: Cross multiply
    7,324.98x = 10,987.50 × 1,778.30
  4. Step 4: Simplify right side
    7,324.98x = 19,539,115.99
  5. Step 5: Solve for x
    x = 19,539,115.99/7,324.98
  6. Step 6: Final answer
    x = 2,667.46

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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.