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Finding the Fourth Proportional to 8,342.98, 11,452.01 and 7,377.64

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Solution

The fourth proportional to 8,342.98, 11,452.01 and 7,377.64 is: 10,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.98 : 11,452.01 = 7,377.64 : x
  2. Step 2: Convert to fraction form
    8,342.98/11,452.01 = 7,377.64/x
  3. Step 3: Cross multiply
    8,342.98x = 11,452.01 × 7,377.64
  4. Step 4: Simplify right side
    8,342.98x = 84,488,807.06
  5. Step 5: Solve for x
    x = 84,488,807.06/8,342.98
  6. Step 6: Final answer
    x = 10,126.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.