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Finding the Fourth Proportional to 7,564.58, 11,348.42 and 2,634.61

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Solution

The fourth proportional to 7,564.58, 11,348.42 and 2,634.61 is: 3,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.58 : 11,348.42 = 2,634.61 : x
  2. Step 2: Convert to fraction form
    7,564.58/11,348.42 = 2,634.61/x
  3. Step 3: Cross multiply
    7,564.58x = 11,348.42 × 2,634.61
  4. Step 4: Simplify right side
    7,564.58x = 29,898,619.27
  5. Step 5: Solve for x
    x = 29,898,619.27/7,564.58
  6. Step 6: Final answer
    x = 3,952.45

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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.