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Finding the Fourth Proportional to 7,847.57, 11,772.98 and 2,301.10

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Solution

The fourth proportional to 7,847.57, 11,772.98 and 2,301.10 is: 3,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.57 : 11,772.98 = 2,301.10 : x
  2. Step 2: Convert to fraction form
    7,847.57/11,772.98 = 2,301.10/x
  3. Step 3: Cross multiply
    7,847.57x = 11,772.98 × 2,301.10
  4. Step 4: Simplify right side
    7,847.57x = 27,090,733.91
  5. Step 5: Solve for x
    x = 27,090,733.91/7,847.57
  6. Step 6: Final answer
    x = 3,452.12

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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.