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Finding the Fourth Proportional to 7,965.11, 10,992.22 and 4,428.38

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Solution

The fourth proportional to 7,965.11, 10,992.22 and 4,428.38 is: 6,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.11 : 10,992.22 = 4,428.38 : x
  2. Step 2: Convert to fraction form
    7,965.11/10,992.22 = 4,428.38/x
  3. Step 3: Cross multiply
    7,965.11x = 10,992.22 × 4,428.38
  4. Step 4: Simplify right side
    7,965.11x = 48,677,727.20
  5. Step 5: Solve for x
    x = 48,677,727.20/7,965.11
  6. Step 6: Final answer
    x = 6,111.37

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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.