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Finding the Fourth Proportional to 10,892, 15,031.04 and 5,924

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Solution

The fourth proportional to 10,892, 15,031.04 and 5,924 is: 8,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892 : 15,031.04 = 5,924 : x
  2. Step 2: Convert to fraction form
    10,892/15,031.04 = 5,924/x
  3. Step 3: Cross multiply
    10,892x = 15,031.04 × 5,924
  4. Step 4: Simplify right side
    10,892x = 89,043,880.96
  5. Step 5: Solve for x
    x = 89,043,880.96/10,892
  6. Step 6: Final answer
    x = 8,175.16

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