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Finding the Fourth Proportional to 12,098.12, 18,154.16 and 5,077.50

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Solution

The fourth proportional to 12,098.12, 18,154.16 and 5,077.50 is: 7,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.12 : 18,154.16 = 5,077.50 : x
  2. Step 2: Convert to fraction form
    12,098.12/18,154.16 = 5,077.50/x
  3. Step 3: Cross multiply
    12,098.12x = 18,154.16 × 5,077.50
  4. Step 4: Simplify right side
    12,098.12x = 92,177,747.40
  5. Step 5: Solve for x
    x = 92,177,747.40/12,098.12
  6. Step 6: Final answer
    x = 7,619.18

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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.