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Finding the Fourth Proportional to 7,564.90, 10,441.56 and 5,327.44

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Solution

The fourth proportional to 7,564.90, 10,441.56 and 5,327.44 is: 7,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.90 : 10,441.56 = 5,327.44 : x
  2. Step 2: Convert to fraction form
    7,564.90/10,441.56 = 5,327.44/x
  3. Step 3: Cross multiply
    7,564.90x = 10,441.56 × 5,327.44
  4. Step 4: Simplify right side
    7,564.90x = 55,626,784.41
  5. Step 5: Solve for x
    x = 55,626,784.41/7,564.90
  6. Step 6: Final answer
    x = 7,353.27

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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.