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Finding the Fourth Proportional to 11,660.80, 17,498.31 and 4,639.54

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Solution

The fourth proportional to 11,660.80, 17,498.31 and 4,639.54 is: 6,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.80 : 17,498.31 = 4,639.54 : x
  2. Step 2: Convert to fraction form
    11,660.80/17,498.31 = 4,639.54/x
  3. Step 3: Cross multiply
    11,660.80x = 17,498.31 × 4,639.54
  4. Step 4: Simplify right side
    11,660.80x = 81,184,109.18
  5. Step 5: Solve for x
    x = 81,184,109.18/11,660.80
  6. Step 6: Final answer
    x = 6,962.14

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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.