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Finding the Fourth Proportional to 10,690.98, 14,753.61 and 6,214.81

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Solution

The fourth proportional to 10,690.98, 14,753.61 and 6,214.81 is: 8,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.98 : 14,753.61 = 6,214.81 : x
  2. Step 2: Convert to fraction form
    10,690.98/14,753.61 = 6,214.81/x
  3. Step 3: Cross multiply
    10,690.98x = 14,753.61 × 6,214.81
  4. Step 4: Simplify right side
    10,690.98x = 91,690,882.96
  5. Step 5: Solve for x
    x = 91,690,882.96/10,690.98
  6. Step 6: Final answer
    x = 8,576.47

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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.