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Finding the Fourth Proportional to 10,278.66, 14,163.61 and 7,092.93

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Solution

The fourth proportional to 10,278.66, 14,163.61 and 7,092.93 is: 9,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.66 : 14,163.61 = 7,092.93 : x
  2. Step 2: Convert to fraction form
    10,278.66/14,163.61 = 7,092.93/x
  3. Step 3: Cross multiply
    10,278.66x = 14,163.61 × 7,092.93
  4. Step 4: Simplify right side
    10,278.66x = 100,461,494.28
  5. Step 5: Solve for x
    x = 100,461,494.28/10,278.66
  6. Step 6: Final answer
    x = 9,773.79

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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.