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Finding the Fourth Proportional to 6,881.40, 10,314.90 and 2,497.08

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Solution

The fourth proportional to 6,881.40, 10,314.90 and 2,497.08 is: 3,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.40 : 10,314.90 = 2,497.08 : x
  2. Step 2: Convert to fraction form
    6,881.40/10,314.90 = 2,497.08/x
  3. Step 3: Cross multiply
    6,881.40x = 10,314.90 × 2,497.08
  4. Step 4: Simplify right side
    6,881.40x = 25,757,130.49
  5. Step 5: Solve for x
    x = 25,757,130.49/6,881.40
  6. Step 6: Final answer
    x = 3,743.01

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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.