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Finding the Fourth Proportional to 10,892.16, 15,031.26 and 6,176.34

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Solution

The fourth proportional to 10,892.16, 15,031.26 and 6,176.34 is: 8,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.16 : 15,031.26 = 6,176.34 : x
  2. Step 2: Convert to fraction form
    10,892.16/15,031.26 = 6,176.34/x
  3. Step 3: Cross multiply
    10,892.16x = 15,031.26 × 6,176.34
  4. Step 4: Simplify right side
    10,892.16x = 92,838,172.39
  5. Step 5: Solve for x
    x = 92,838,172.39/10,892.16
  6. Step 6: Final answer
    x = 8,523.39

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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.