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Finding the Fourth Proportional to 11,666.51, 16,107.71 and 8,972.96

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Solution

The fourth proportional to 11,666.51, 16,107.71 and 8,972.96 is: 12,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.51 : 16,107.71 = 8,972.96 : x
  2. Step 2: Convert to fraction form
    11,666.51/16,107.71 = 8,972.96/x
  3. Step 3: Cross multiply
    11,666.51x = 16,107.71 × 8,972.96
  4. Step 4: Simplify right side
    11,666.51x = 144,533,837.52
  5. Step 5: Solve for x
    x = 144,533,837.52/11,666.51
  6. Step 6: Final answer
    x = 12,388.78

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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.