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Finding the Fourth Proportional to 10,995.86, 15,174.78 and 7,812.56

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Solution

The fourth proportional to 10,995.86, 15,174.78 and 7,812.56 is: 10,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.86 : 15,174.78 = 7,812.56 : x
  2. Step 2: Convert to fraction form
    10,995.86/15,174.78 = 7,812.56/x
  3. Step 3: Cross multiply
    10,995.86x = 15,174.78 × 7,812.56
  4. Step 4: Simplify right side
    10,995.86x = 118,553,879.24
  5. Step 5: Solve for x
    x = 118,553,879.24/10,995.86
  6. Step 6: Final answer
    x = 10,781.68

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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.