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Finding the Fourth Proportional to 10,558.14, 14,573.19 and 6,310.14

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Solution

The fourth proportional to 10,558.14, 14,573.19 and 6,310.14 is: 8,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.14 : 14,573.19 = 6,310.14 : x
  2. Step 2: Convert to fraction form
    10,558.14/14,573.19 = 6,310.14/x
  3. Step 3: Cross multiply
    10,558.14x = 14,573.19 × 6,310.14
  4. Step 4: Simplify right side
    10,558.14x = 91,958,869.15
  5. Step 5: Solve for x
    x = 91,958,869.15/10,558.14
  6. Step 6: Final answer
    x = 8,709.76

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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.