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Finding the Fourth Proportional to 7,892, 10,891.04 and 4,748.24

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Solution

The fourth proportional to 7,892, 10,891.04 and 4,748.24 is: 6,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892 : 10,891.04 = 4,748.24 : x
  2. Step 2: Convert to fraction form
    7,892/10,891.04 = 4,748.24/x
  3. Step 3: Cross multiply
    7,892x = 10,891.04 × 4,748.24
  4. Step 4: Simplify right side
    7,892x = 51,713,271.77
  5. Step 5: Solve for x
    x = 51,713,271.77/7,892
  6. Step 6: Final answer
    x = 6,552.62

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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.