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Finding the Fourth Proportional to 10,472.93, 15,717.11 and 5,796.90

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Solution

The fourth proportional to 10,472.93, 15,717.11 and 5,796.90 is: 8,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.93 : 15,717.11 = 5,796.90 : x
  2. Step 2: Convert to fraction form
    10,472.93/15,717.11 = 5,796.90/x
  3. Step 3: Cross multiply
    10,472.93x = 15,717.11 × 5,796.90
  4. Step 4: Simplify right side
    10,472.93x = 91,110,485.97
  5. Step 5: Solve for x
    x = 91,110,485.97/10,472.93
  6. Step 6: Final answer
    x = 8,699.62

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Why These Related Problems?

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