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Finding the Fourth Proportional to 7,926.30, 10,937.54 and 4,738.97

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Solution

The fourth proportional to 7,926.30, 10,937.54 and 4,738.97 is: 6,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.30 : 10,937.54 = 4,738.97 : x
  2. Step 2: Convert to fraction form
    7,926.30/10,937.54 = 4,738.97/x
  3. Step 3: Cross multiply
    7,926.30x = 10,937.54 × 4,738.97
  4. Step 4: Simplify right side
    7,926.30x = 51,832,595.55
  5. Step 5: Solve for x
    x = 51,832,595.55/7,926.30
  6. Step 6: Final answer
    x = 6,539.32

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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.