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Finding the Fourth Proportional to 7,575.71, 11,365.38 and 2,381.58

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Solution

The fourth proportional to 7,575.71, 11,365.38 and 2,381.58 is: 3,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.71 : 11,365.38 = 2,381.58 : x
  2. Step 2: Convert to fraction form
    7,575.71/11,365.38 = 2,381.58/x
  3. Step 3: Cross multiply
    7,575.71x = 11,365.38 × 2,381.58
  4. Step 4: Simplify right side
    7,575.71x = 27,067,561.70
  5. Step 5: Solve for x
    x = 27,067,561.70/7,575.71
  6. Step 6: Final answer
    x = 3,572.94

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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.