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Finding the Fourth Proportional to 8,446.02, 11,648.85 and 7,880.13

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Solution

The fourth proportional to 8,446.02, 11,648.85 and 7,880.13 is: 10,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.02 : 11,648.85 = 7,880.13 : x
  2. Step 2: Convert to fraction form
    8,446.02/11,648.85 = 7,880.13/x
  3. Step 3: Cross multiply
    8,446.02x = 11,648.85 × 7,880.13
  4. Step 4: Simplify right side
    8,446.02x = 91,794,452.35
  5. Step 5: Solve for x
    x = 91,794,452.35/8,446.02
  6. Step 6: Final answer
    x = 10,868.37

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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.