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Finding the Fourth Proportional to 10,654.64, 14,703.41 and 5,938.82

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Solution

The fourth proportional to 10,654.64, 14,703.41 and 5,938.82 is: 8,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.64 : 14,703.41 = 5,938.82 : x
  2. Step 2: Convert to fraction form
    10,654.64/14,703.41 = 5,938.82/x
  3. Step 3: Cross multiply
    10,654.64x = 14,703.41 × 5,938.82
  4. Step 4: Simplify right side
    10,654.64x = 87,320,905.38
  5. Step 5: Solve for x
    x = 87,320,905.38/10,654.64
  6. Step 6: Final answer
    x = 8,195.58

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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.