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Finding the Fourth Proportional to 10,654.72, 14,703.70 and 5,938.49

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Solution

The fourth proportional to 10,654.72, 14,703.70 and 5,938.49 is: 8,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.72 : 14,703.70 = 5,938.49 : x
  2. Step 2: Convert to fraction form
    10,654.72/14,703.70 = 5,938.49/x
  3. Step 3: Cross multiply
    10,654.72x = 14,703.70 × 5,938.49
  4. Step 4: Simplify right side
    10,654.72x = 87,317,775.41
  5. Step 5: Solve for x
    x = 87,317,775.41/10,654.72
  6. Step 6: Final answer
    x = 8,195.22

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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.