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Finding the Fourth Proportional to 10,314.56, 14,234.39 and 6,065.91

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Solution

The fourth proportional to 10,314.56, 14,234.39 and 6,065.91 is: 8,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.56 : 14,234.39 = 6,065.91 : x
  2. Step 2: Convert to fraction form
    10,314.56/14,234.39 = 6,065.91/x
  3. Step 3: Cross multiply
    10,314.56x = 14,234.39 × 6,065.91
  4. Step 4: Simplify right side
    10,314.56x = 86,344,498.32
  5. Step 5: Solve for x
    x = 86,344,498.32/10,314.56
  6. Step 6: Final answer
    x = 8,371.13

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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.