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Finding the Fourth Proportional to 11,966.60, 17,982.84 and 6,424.04

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Solution

The fourth proportional to 11,966.60, 17,982.84 and 6,424.04 is: 9,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.60 : 17,982.84 = 6,424.04 : x
  2. Step 2: Convert to fraction form
    11,966.60/17,982.84 = 6,424.04/x
  3. Step 3: Cross multiply
    11,966.60x = 17,982.84 × 6,424.04
  4. Step 4: Simplify right side
    11,966.60x = 115,522,483.47
  5. Step 5: Solve for x
    x = 115,522,483.47/11,966.60
  6. Step 6: Final answer
    x = 9,653.74

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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.