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Finding the Fourth Proportional to 10,393.88, 14,343.14 and 5,917.41

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Solution

The fourth proportional to 10,393.88, 14,343.14 and 5,917.41 is: 8,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.88 : 14,343.14 = 5,917.41 : x
  2. Step 2: Convert to fraction form
    10,393.88/14,343.14 = 5,917.41/x
  3. Step 3: Cross multiply
    10,393.88x = 14,343.14 × 5,917.41
  4. Step 4: Simplify right side
    10,393.88x = 84,874,254.86
  5. Step 5: Solve for x
    x = 84,874,254.86/10,393.88
  6. Step 6: Final answer
    x = 8,165.80

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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.