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Finding the Fourth Proportional to 11,966.50, 16,508.10 and 8,431.66

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Solution

The fourth proportional to 11,966.50, 16,508.10 and 8,431.66 is: 11,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.50 : 16,508.10 = 8,431.66 : x
  2. Step 2: Convert to fraction form
    11,966.50/16,508.10 = 8,431.66/x
  3. Step 3: Cross multiply
    11,966.50x = 16,508.10 × 8,431.66
  4. Step 4: Simplify right side
    11,966.50x = 139,190,686.45
  5. Step 5: Solve for x
    x = 139,190,686.45/11,966.50
  6. Step 6: Final answer
    x = 11,631.70

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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.