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Finding the Fourth Proportional to 7,378.78, 10,182.42 and 4,021.52

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Solution

The fourth proportional to 7,378.78, 10,182.42 and 4,021.52 is: 5,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.78 : 10,182.42 = 4,021.52 : x
  2. Step 2: Convert to fraction form
    7,378.78/10,182.42 = 4,021.52/x
  3. Step 3: Cross multiply
    7,378.78x = 10,182.42 × 4,021.52
  4. Step 4: Simplify right side
    7,378.78x = 40,948,831.13
  5. Step 5: Solve for x
    x = 40,948,831.13/7,378.78
  6. Step 6: Final answer
    x = 5,549.54

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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.