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Finding the Fourth Proportional to 7,588.42, 11,380.41 and 2,657.14

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Solution

The fourth proportional to 7,588.42, 11,380.41 and 2,657.14 is: 3,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.42 : 11,380.41 = 2,657.14 : x
  2. Step 2: Convert to fraction form
    7,588.42/11,380.41 = 2,657.14/x
  3. Step 3: Cross multiply
    7,588.42x = 11,380.41 × 2,657.14
  4. Step 4: Simplify right side
    7,588.42x = 30,239,342.63
  5. Step 5: Solve for x
    x = 30,239,342.63/7,588.42
  6. Step 6: Final answer
    x = 3,984.93

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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.