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Finding the Fourth Proportional to 7,032.42, 10,553.74 and 5,188.49

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Solution

The fourth proportional to 7,032.42, 10,553.74 and 5,188.49 is: 7,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.42 : 10,553.74 = 5,188.49 : x
  2. Step 2: Convert to fraction form
    7,032.42/10,553.74 = 5,188.49/x
  3. Step 3: Cross multiply
    7,032.42x = 10,553.74 × 5,188.49
  4. Step 4: Simplify right side
    7,032.42x = 54,757,974.45
  5. Step 5: Solve for x
    x = 54,757,974.45/7,032.42
  6. Step 6: Final answer
    x = 7,786.51

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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.