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Finding the Fourth Proportional to 7,278.14, 10,043.82 and 3,966.14

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Solution

The fourth proportional to 7,278.14, 10,043.82 and 3,966.14 is: 5,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.14 : 10,043.82 = 3,966.14 : x
  2. Step 2: Convert to fraction form
    7,278.14/10,043.82 = 3,966.14/x
  3. Step 3: Cross multiply
    7,278.14x = 10,043.82 × 3,966.14
  4. Step 4: Simplify right side
    7,278.14x = 39,835,196.25
  5. Step 5: Solve for x
    x = 39,835,196.25/7,278.14
  6. Step 6: Final answer
    x = 5,473.27

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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.