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Finding the Fourth Proportional to 7,735.19, 11,615.47 and 7,340.78

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Solution

The fourth proportional to 7,735.19, 11,615.47 and 7,340.78 is: 11,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.19 : 11,615.47 = 7,340.78 : x
  2. Step 2: Convert to fraction form
    7,735.19/11,615.47 = 7,340.78/x
  3. Step 3: Cross multiply
    7,735.19x = 11,615.47 × 7,340.78
  4. Step 4: Simplify right side
    7,735.19x = 85,266,620.55
  5. Step 5: Solve for x
    x = 85,266,620.55/7,735.19
  6. Step 6: Final answer
    x = 11,023.22

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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.