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Finding the Fourth Proportional to 8,502.12, 12,750.14 and 2,954.12

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Solution

The fourth proportional to 8,502.12, 12,750.14 and 2,954.12 is: 4,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.12 : 12,750.14 = 2,954.12 : x
  2. Step 2: Convert to fraction form
    8,502.12/12,750.14 = 2,954.12/x
  3. Step 3: Cross multiply
    8,502.12x = 12,750.14 × 2,954.12
  4. Step 4: Simplify right side
    8,502.12x = 37,665,443.58
  5. Step 5: Solve for x
    x = 37,665,443.58/8,502.12
  6. Step 6: Final answer
    x = 4,430.12

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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.