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Finding the Fourth Proportional to 10,072.89, 15,090.17 and 5,693.49

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Solution

The fourth proportional to 10,072.89, 15,090.17 and 5,693.49 is: 8,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.89 : 15,090.17 = 5,693.49 : x
  2. Step 2: Convert to fraction form
    10,072.89/15,090.17 = 5,693.49/x
  3. Step 3: Cross multiply
    10,072.89x = 15,090.17 × 5,693.49
  4. Step 4: Simplify right side
    10,072.89x = 85,915,703.53
  5. Step 5: Solve for x
    x = 85,915,703.53/10,072.89
  6. Step 6: Final answer
    x = 8,529.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.