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Finding the Fourth Proportional to 10,214.59, 14,096.29 and 6,235.17

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Solution

The fourth proportional to 10,214.59, 14,096.29 and 6,235.17 is: 8,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.59 : 14,096.29 = 6,235.17 : x
  2. Step 2: Convert to fraction form
    10,214.59/14,096.29 = 6,235.17/x
  3. Step 3: Cross multiply
    10,214.59x = 14,096.29 × 6,235.17
  4. Step 4: Simplify right side
    10,214.59x = 87,892,764.52
  5. Step 5: Solve for x
    x = 87,892,764.52/10,214.59
  6. Step 6: Final answer
    x = 8,604.63

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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.