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Finding the Fourth Proportional to 7,965.24, 10,992.00 and 4,428.47

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Solution

The fourth proportional to 7,965.24, 10,992.00 and 4,428.47 is: 6,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.24 : 10,992.00 = 4,428.47 : x
  2. Step 2: Convert to fraction form
    7,965.24/10,992.00 = 4,428.47/x
  3. Step 3: Cross multiply
    7,965.24x = 10,992.00 × 4,428.47
  4. Step 4: Simplify right side
    7,965.24x = 48,677,786.33
  5. Step 5: Solve for x
    x = 48,677,786.33/7,965.24
  6. Step 6: Final answer
    x = 6,111.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.