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Finding the Fourth Proportional to 11,661.60, 17,497.57 and 6,113.62

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Solution

The fourth proportional to 11,661.60, 17,497.57 and 6,113.62 is: 9,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.60 : 17,497.57 = 6,113.62 : x
  2. Step 2: Convert to fraction form
    11,661.60/17,497.57 = 6,113.62/x
  3. Step 3: Cross multiply
    11,661.60x = 17,497.57 × 6,113.62
  4. Step 4: Simplify right side
    11,661.60x = 106,973,493.90
  5. Step 5: Solve for x
    x = 106,973,493.90/11,661.60
  6. Step 6: Final answer
    x = 9,173.14

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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.