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Finding the Fourth Proportional to 10,193.42, 14,065.98 and 5,717.36

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Solution

The fourth proportional to 10,193.42, 14,065.98 and 5,717.36 is: 7,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.42 : 14,065.98 = 5,717.36 : x
  2. Step 2: Convert to fraction form
    10,193.42/14,065.98 = 5,717.36/x
  3. Step 3: Cross multiply
    10,193.42x = 14,065.98 × 5,717.36
  4. Step 4: Simplify right side
    10,193.42x = 80,420,271.41
  5. Step 5: Solve for x
    x = 80,420,271.41/10,193.42
  6. Step 6: Final answer
    x = 7,889.43

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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.