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Finding the Fourth Proportional to 11,677.52, 17,522.96 and 4,281

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Solution

The fourth proportional to 11,677.52, 17,522.96 and 4,281 is: 6,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.52 : 17,522.96 = 4,281 : x
  2. Step 2: Convert to fraction form
    11,677.52/17,522.96 = 4,281/x
  3. Step 3: Cross multiply
    11,677.52x = 17,522.96 × 4,281
  4. Step 4: Simplify right side
    11,677.52x = 75,015,791.76
  5. Step 5: Solve for x
    x = 75,015,791.76/11,677.52
  6. Step 6: Final answer
    x = 6,423.95

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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.