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Finding the Fourth Proportional to 8,171.40, 11,280 and 5,522.40

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Solution

The fourth proportional to 8,171.40, 11,280 and 5,522.40 is: 7,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.40 : 11,280 = 5,522.40 : x
  2. Step 2: Convert to fraction form
    8,171.40/11,280 = 5,522.40/x
  3. Step 3: Cross multiply
    8,171.40x = 11,280 × 5,522.40
  4. Step 4: Simplify right side
    8,171.40x = 62,292,672.00
  5. Step 5: Solve for x
    x = 62,292,672.00/8,171.40
  6. Step 6: Final answer
    x = 7,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.