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Finding the Fourth Proportional to 7,745.93, 10,685.82 and 5,616.79

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Solution

The fourth proportional to 7,745.93, 10,685.82 and 5,616.79 is: 7,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.93 : 10,685.82 = 5,616.79 : x
  2. Step 2: Convert to fraction form
    7,745.93/10,685.82 = 5,616.79/x
  3. Step 3: Cross multiply
    7,745.93x = 10,685.82 × 5,616.79
  4. Step 4: Simplify right side
    7,745.93x = 60,020,061.37
  5. Step 5: Solve for x
    x = 60,020,061.37/7,745.93
  6. Step 6: Final answer
    x = 7,748.59

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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.