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Finding the Fourth Proportional to 6,774.95, 10,162.71 and 2,392.43

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Solution

The fourth proportional to 6,774.95, 10,162.71 and 2,392.43 is: 3,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.95 : 10,162.71 = 2,392.43 : x
  2. Step 2: Convert to fraction form
    6,774.95/10,162.71 = 2,392.43/x
  3. Step 3: Cross multiply
    6,774.95x = 10,162.71 × 2,392.43
  4. Step 4: Simplify right side
    6,774.95x = 24,313,572.29
  5. Step 5: Solve for x
    x = 24,313,572.29/6,774.95
  6. Step 6: Final answer
    x = 3,588.75

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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.