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Finding the Fourth Proportional to 12,079.05, 18,098.08 and 5,842

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Solution

The fourth proportional to 12,079.05, 18,098.08 and 5,842 is: 8,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.05 : 18,098.08 = 5,842 : x
  2. Step 2: Convert to fraction form
    12,079.05/18,098.08 = 5,842/x
  3. Step 3: Cross multiply
    12,079.05x = 18,098.08 × 5,842
  4. Step 4: Simplify right side
    12,079.05x = 105,728,983.36
  5. Step 5: Solve for x
    x = 105,728,983.36/12,079.05
  6. Step 6: Final answer
    x = 8,753.09

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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.