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Finding the Fourth Proportional to 11,522.47, 17,284.17 and 4,944.16

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Solution

The fourth proportional to 11,522.47, 17,284.17 and 4,944.16 is: 7,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.47 : 17,284.17 = 4,944.16 : x
  2. Step 2: Convert to fraction form
    11,522.47/17,284.17 = 4,944.16/x
  3. Step 3: Cross multiply
    11,522.47x = 17,284.17 × 4,944.16
  4. Step 4: Simplify right side
    11,522.47x = 85,455,701.95
  5. Step 5: Solve for x
    x = 85,455,701.95/11,522.47
  6. Step 6: Final answer
    x = 7,416.44

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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.