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Finding the Fourth Proportional to 7,534.62, 11,296.67 and 2,854.89

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Solution

The fourth proportional to 7,534.62, 11,296.67 and 2,854.89 is: 4,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.62 : 11,296.67 = 2,854.89 : x
  2. Step 2: Convert to fraction form
    7,534.62/11,296.67 = 2,854.89/x
  3. Step 3: Cross multiply
    7,534.62x = 11,296.67 × 2,854.89
  4. Step 4: Simplify right side
    7,534.62x = 32,250,735.94
  5. Step 5: Solve for x
    x = 32,250,735.94/7,534.62
  6. Step 6: Final answer
    x = 4,280.34

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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.