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Finding the Fourth Proportional to 8,499.44, 12,749.36 and 2,952.96

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Solution

The fourth proportional to 8,499.44, 12,749.36 and 2,952.96 is: 4,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.44 : 12,749.36 = 2,952.96 : x
  2. Step 2: Convert to fraction form
    8,499.44/12,749.36 = 2,952.96/x
  3. Step 3: Cross multiply
    8,499.44x = 12,749.36 × 2,952.96
  4. Step 4: Simplify right side
    8,499.44x = 37,648,335.34
  5. Step 5: Solve for x
    x = 37,648,335.34/8,499.44
  6. Step 6: Final answer
    x = 4,429.51

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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.