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Finding the Fourth Proportional to 10,654.74, 14,701.32 and 5,938.14

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Solution

The fourth proportional to 10,654.74, 14,701.32 and 5,938.14 is: 8,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.74 : 14,701.32 = 5,938.14 : x
  2. Step 2: Convert to fraction form
    10,654.74/14,701.32 = 5,938.14/x
  3. Step 3: Cross multiply
    10,654.74x = 14,701.32 × 5,938.14
  4. Step 4: Simplify right side
    10,654.74x = 87,298,496.34
  5. Step 5: Solve for x
    x = 87,298,496.34/10,654.74
  6. Step 6: Final answer
    x = 8,193.40

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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.