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Finding the Fourth Proportional to 7,564.80, 11,330.60 and 5,366.84

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Solution

The fourth proportional to 7,564.80, 11,330.60 and 5,366.84 is: 8,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.80 : 11,330.60 = 5,366.84 : x
  2. Step 2: Convert to fraction form
    7,564.80/11,330.60 = 5,366.84/x
  3. Step 3: Cross multiply
    7,564.80x = 11,330.60 × 5,366.84
  4. Step 4: Simplify right side
    7,564.80x = 60,809,517.30
  5. Step 5: Solve for x
    x = 60,809,517.30/7,564.80
  6. Step 6: Final answer
    x = 8,038.48

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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.