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Finding the Fourth Proportional to 10,770.50, 14,863.02 and 5,990.47

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Solution

The fourth proportional to 10,770.50, 14,863.02 and 5,990.47 is: 8,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.50 : 14,863.02 = 5,990.47 : x
  2. Step 2: Convert to fraction form
    10,770.50/14,863.02 = 5,990.47/x
  3. Step 3: Cross multiply
    10,770.50x = 14,863.02 × 5,990.47
  4. Step 4: Simplify right side
    10,770.50x = 89,036,475.42
  5. Step 5: Solve for x
    x = 89,036,475.42/10,770.50
  6. Step 6: Final answer
    x = 8,266.70

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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.