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Finding the Fourth Proportional to 11,567.25, 15,962.82 and 7,377.93

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Solution

The fourth proportional to 11,567.25, 15,962.82 and 7,377.93 is: 10,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.25 : 15,962.82 = 7,377.93 : x
  2. Step 2: Convert to fraction form
    11,567.25/15,962.82 = 7,377.93/x
  3. Step 3: Cross multiply
    11,567.25x = 15,962.82 × 7,377.93
  4. Step 4: Simplify right side
    11,567.25x = 117,772,568.56
  5. Step 5: Solve for x
    x = 117,772,568.56/11,567.25
  6. Step 6: Final answer
    x = 10,181.55

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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.