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Finding the Fourth Proportional to 10,654.64, 16,043.78 and 7,900.82

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Solution

The fourth proportional to 10,654.64, 16,043.78 and 7,900.82 is: 11,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.64 : 16,043.78 = 7,900.82 : x
  2. Step 2: Convert to fraction form
    10,654.64/16,043.78 = 7,900.82/x
  3. Step 3: Cross multiply
    10,654.64x = 16,043.78 × 7,900.82
  4. Step 4: Simplify right side
    10,654.64x = 126,759,017.90
  5. Step 5: Solve for x
    x = 126,759,017.90/10,654.64
  6. Step 6: Final answer
    x = 11,897.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.