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Finding the Fourth Proportional to 7,690.33, 10,608.51 and 5,142.48

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Solution

The fourth proportional to 7,690.33, 10,608.51 and 5,142.48 is: 7,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.33 : 10,608.51 = 5,142.48 : x
  2. Step 2: Convert to fraction form
    7,690.33/10,608.51 = 5,142.48/x
  3. Step 3: Cross multiply
    7,690.33x = 10,608.51 × 5,142.48
  4. Step 4: Simplify right side
    7,690.33x = 54,554,050.50
  5. Step 5: Solve for x
    x = 54,554,050.50/7,690.33
  6. Step 6: Final answer
    x = 7,093.85

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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.