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Finding the Fourth Proportional to 11,747.08, 17,587.98 and 8,041.48

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Solution

The fourth proportional to 11,747.08, 17,587.98 and 8,041.48 is: 12,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.08 : 17,587.98 = 8,041.48 : x
  2. Step 2: Convert to fraction form
    11,747.08/17,587.98 = 8,041.48/x
  3. Step 3: Cross multiply
    11,747.08x = 17,587.98 × 8,041.48
  4. Step 4: Simplify right side
    11,747.08x = 141,433,389.41
  5. Step 5: Solve for x
    x = 141,433,389.41/11,747.08
  6. Step 6: Final answer
    x = 12,039.88

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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.