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Finding the Fourth Proportional to 10,393.41, 14,342.22 and 5,917.62

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Solution

The fourth proportional to 10,393.41, 14,342.22 and 5,917.62 is: 8,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.41 : 14,342.22 = 5,917.62 : x
  2. Step 2: Convert to fraction form
    10,393.41/14,342.22 = 5,917.62/x
  3. Step 3: Cross multiply
    10,393.41x = 14,342.22 × 5,917.62
  4. Step 4: Simplify right side
    10,393.41x = 84,871,807.92
  5. Step 5: Solve for x
    x = 84,871,807.92/10,393.41
  6. Step 6: Final answer
    x = 8,165.93

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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.