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Finding the Fourth Proportional to 7,392, 10,197.90 and 4,876.92

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Solution

The fourth proportional to 7,392, 10,197.90 and 4,876.92 is: 6,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392 : 10,197.90 = 4,876.92 : x
  2. Step 2: Convert to fraction form
    7,392/10,197.90 = 4,876.92/x
  3. Step 3: Cross multiply
    7,392x = 10,197.90 × 4,876.92
  4. Step 4: Simplify right side
    7,392x = 49,734,342.47
  5. Step 5: Solve for x
    x = 49,734,342.47/7,392
  6. Step 6: Final answer
    x = 6,728.13

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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.