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Finding the Fourth Proportional to 8,294.34, 12,441.51 and 3,099

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Solution

The fourth proportional to 8,294.34, 12,441.51 and 3,099 is: 4,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.34 : 12,441.51 = 3,099 : x
  2. Step 2: Convert to fraction form
    8,294.34/12,441.51 = 3,099/x
  3. Step 3: Cross multiply
    8,294.34x = 12,441.51 × 3,099
  4. Step 4: Simplify right side
    8,294.34x = 38,556,239.49
  5. Step 5: Solve for x
    x = 38,556,239.49/8,294.34
  6. Step 6: Final answer
    x = 4,648.50

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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.