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Finding the Fourth Proportional to 7,965.38, 10,992.17 and 4,428.56

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Solution

The fourth proportional to 7,965.38, 10,992.17 and 4,428.56 is: 6,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.38 : 10,992.17 = 4,428.56 : x
  2. Step 2: Convert to fraction form
    7,965.38/10,992.17 = 4,428.56/x
  3. Step 3: Cross multiply
    7,965.38x = 10,992.17 × 4,428.56
  4. Step 4: Simplify right side
    7,965.38x = 48,679,522.93
  5. Step 5: Solve for x
    x = 48,679,522.93/7,965.38
  6. Step 6: Final answer
    x = 6,111.39

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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.