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Finding the Fourth Proportional to 11,694.76, 17,534.50 and 4,670.44

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Solution

The fourth proportional to 11,694.76, 17,534.50 and 4,670.44 is: 7,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.76 : 17,534.50 = 4,670.44 : x
  2. Step 2: Convert to fraction form
    11,694.76/17,534.50 = 4,670.44/x
  3. Step 3: Cross multiply
    11,694.76x = 17,534.50 × 4,670.44
  4. Step 4: Simplify right side
    11,694.76x = 81,893,830.18
  5. Step 5: Solve for x
    x = 81,893,830.18/11,694.76
  6. Step 6: Final answer
    x = 7,002.61

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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.