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Finding the Fourth Proportional to 10,863.42, 14,991.54 and 6,148.62

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Solution

The fourth proportional to 10,863.42, 14,991.54 and 6,148.62 is: 8,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.42 : 14,991.54 = 6,148.62 : x
  2. Step 2: Convert to fraction form
    10,863.42/14,991.54 = 6,148.62/x
  3. Step 3: Cross multiply
    10,863.42x = 14,991.54 × 6,148.62
  4. Step 4: Simplify right side
    10,863.42x = 92,177,282.67
  5. Step 5: Solve for x
    x = 92,177,282.67/10,863.42
  6. Step 6: Final answer
    x = 8,485.11

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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.