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Finding the Fourth Proportional to 11,966.83, 16,497.10 and 8,419.03

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Solution

The fourth proportional to 11,966.83, 16,497.10 and 8,419.03 is: 11,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.83 : 16,497.10 = 8,419.03 : x
  2. Step 2: Convert to fraction form
    11,966.83/16,497.10 = 8,419.03/x
  3. Step 3: Cross multiply
    11,966.83x = 16,497.10 × 8,419.03
  4. Step 4: Simplify right side
    11,966.83x = 138,889,579.81
  5. Step 5: Solve for x
    x = 138,889,579.81/11,966.83
  6. Step 6: Final answer
    x = 11,606.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.