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Finding the Fourth Proportional to 8,151.54, 12,228.33 and 2,308.14

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Solution

The fourth proportional to 8,151.54, 12,228.33 and 2,308.14 is: 3,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.54 : 12,228.33 = 2,308.14 : x
  2. Step 2: Convert to fraction form
    8,151.54/12,228.33 = 2,308.14/x
  3. Step 3: Cross multiply
    8,151.54x = 12,228.33 × 2,308.14
  4. Step 4: Simplify right side
    8,151.54x = 28,224,697.61
  5. Step 5: Solve for x
    x = 28,224,697.61/8,151.54
  6. Step 6: Final answer
    x = 3,462.50

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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.