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Finding the Fourth Proportional to 10,892.39, 15,031.04 and 6,176.57

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Solution

The fourth proportional to 10,892.39, 15,031.04 and 6,176.57 is: 8,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.39 : 15,031.04 = 6,176.57 : x
  2. Step 2: Convert to fraction form
    10,892.39/15,031.04 = 6,176.57/x
  3. Step 3: Cross multiply
    10,892.39x = 15,031.04 × 6,176.57
  4. Step 4: Simplify right side
    10,892.39x = 92,840,164.69
  5. Step 5: Solve for x
    x = 92,840,164.69/10,892.39
  6. Step 6: Final answer
    x = 8,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.