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Finding the Fourth Proportional to 6,681.42, 10,015.25 and 2,296.49

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Solution

The fourth proportional to 6,681.42, 10,015.25 and 2,296.49 is: 3,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.42 : 10,015.25 = 2,296.49 : x
  2. Step 2: Convert to fraction form
    6,681.42/10,015.25 = 2,296.49/x
  3. Step 3: Cross multiply
    6,681.42x = 10,015.25 × 2,296.49
  4. Step 4: Simplify right side
    6,681.42x = 22,999,859.91
  5. Step 5: Solve for x
    x = 22,999,859.91/6,681.42
  6. Step 6: Final answer
    x = 3,442.36

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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.