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Finding the Fourth Proportional to 12,094.61, 18,148.92 and 5,074

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Solution

The fourth proportional to 12,094.61, 18,148.92 and 5,074 is: 7,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.61 : 18,148.92 = 5,074 : x
  2. Step 2: Convert to fraction form
    12,094.61/18,148.92 = 5,074/x
  3. Step 3: Cross multiply
    12,094.61x = 18,148.92 × 5,074
  4. Step 4: Simplify right side
    12,094.61x = 92,087,620.08
  5. Step 5: Solve for x
    x = 92,087,620.08/12,094.61
  6. Step 6: Final answer
    x = 7,613.94

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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.