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Finding the Fourth Proportional to 6,894.14, 10,341.41 and 2,514.87

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Solution

The fourth proportional to 6,894.14, 10,341.41 and 2,514.87 is: 3,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.14 : 10,341.41 = 2,514.87 : x
  2. Step 2: Convert to fraction form
    6,894.14/10,341.41 = 2,514.87/x
  3. Step 3: Cross multiply
    6,894.14x = 10,341.41 × 2,514.87
  4. Step 4: Simplify right side
    6,894.14x = 26,007,289.19
  5. Step 5: Solve for x
    x = 26,007,289.19/6,894.14
  6. Step 6: Final answer
    x = 3,772.38

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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.