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Finding the Fourth Proportional to 10,043.42, 13,860.33 and 5,795.78

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Solution

The fourth proportional to 10,043.42, 13,860.33 and 5,795.78 is: 7,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.42 : 13,860.33 = 5,795.78 : x
  2. Step 2: Convert to fraction form
    10,043.42/13,860.33 = 5,795.78/x
  3. Step 3: Cross multiply
    10,043.42x = 13,860.33 × 5,795.78
  4. Step 4: Simplify right side
    10,043.42x = 80,331,423.41
  5. Step 5: Solve for x
    x = 80,331,423.41/10,043.42
  6. Step 6: Final answer
    x = 7,998.41

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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.