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Finding the Fourth Proportional to 10,721.07, 16,065 and 5,448.06

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Solution

The fourth proportional to 10,721.07, 16,065 and 5,448.06 is: 8,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.07 : 16,065 = 5,448.06 : x
  2. Step 2: Convert to fraction form
    10,721.07/16,065 = 5,448.06/x
  3. Step 3: Cross multiply
    10,721.07x = 16,065 × 5,448.06
  4. Step 4: Simplify right side
    10,721.07x = 87,523,083.90
  5. Step 5: Solve for x
    x = 87,523,083.90/10,721.07
  6. Step 6: Final answer
    x = 8,163.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.