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Finding the Fourth Proportional to 10,958.42, 15,121.86 and 6,178.53

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Solution

The fourth proportional to 10,958.42, 15,121.86 and 6,178.53 is: 8,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.42 : 15,121.86 = 6,178.53 : x
  2. Step 2: Convert to fraction form
    10,958.42/15,121.86 = 6,178.53/x
  3. Step 3: Cross multiply
    10,958.42x = 15,121.86 × 6,178.53
  4. Step 4: Simplify right side
    10,958.42x = 93,430,942.42
  5. Step 5: Solve for x
    x = 93,430,942.42/10,958.42
  6. Step 6: Final answer
    x = 8,525.95

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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.