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Finding the Fourth Proportional to 11,685.76, 17,528.73 and 3,894.58

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Solution

The fourth proportional to 11,685.76, 17,528.73 and 3,894.58 is: 5,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.76 : 17,528.73 = 3,894.58 : x
  2. Step 2: Convert to fraction form
    11,685.76/17,528.73 = 3,894.58/x
  3. Step 3: Cross multiply
    11,685.76x = 17,528.73 × 3,894.58
  4. Step 4: Simplify right side
    11,685.76x = 68,267,041.28
  5. Step 5: Solve for x
    x = 68,267,041.28/11,685.76
  6. Step 6: Final answer
    x = 5,841.90

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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.