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Finding the Fourth Proportional to 7,378.94, 10,182.78 and 4,021.77

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Solution

The fourth proportional to 7,378.94, 10,182.78 and 4,021.77 is: 5,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.94 : 10,182.78 = 4,021.77 : x
  2. Step 2: Convert to fraction form
    7,378.94/10,182.78 = 4,021.77/x
  3. Step 3: Cross multiply
    7,378.94x = 10,182.78 × 4,021.77
  4. Step 4: Simplify right side
    7,378.94x = 40,952,799.12
  5. Step 5: Solve for x
    x = 40,952,799.12/7,378.94
  6. Step 6: Final answer
    x = 5,549.96

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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.