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Finding the Fourth Proportional to 7,924, 10,935.12 and 4,612

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Solution

The fourth proportional to 7,924, 10,935.12 and 4,612 is: 6,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 10,935.12 = 4,612 : x
  2. Step 2: Convert to fraction form
    7,924/10,935.12 = 4,612/x
  3. Step 3: Cross multiply
    7,924x = 10,935.12 × 4,612
  4. Step 4: Simplify right side
    7,924x = 50,432,773.44
  5. Step 5: Solve for x
    x = 50,432,773.44/7,924
  6. Step 6: Final answer
    x = 6,364.56

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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.