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Finding the Fourth Proportional to 11,411.60, 17,091.87 and 6,597.14

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Solution

The fourth proportional to 11,411.60, 17,091.87 and 6,597.14 is: 9,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.60 : 17,091.87 = 6,597.14 : x
  2. Step 2: Convert to fraction form
    11,411.60/17,091.87 = 6,597.14/x
  3. Step 3: Cross multiply
    11,411.60x = 17,091.87 × 6,597.14
  4. Step 4: Simplify right side
    11,411.60x = 112,757,400.03
  5. Step 5: Solve for x
    x = 112,757,400.03/11,411.60
  6. Step 6: Final answer
    x = 9,880.95

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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.