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Finding the Fourth Proportional to 10,318.16, 14,239.94 and 5,842.70

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Solution

The fourth proportional to 10,318.16, 14,239.94 and 5,842.70 is: 8,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.16 : 14,239.94 = 5,842.70 : x
  2. Step 2: Convert to fraction form
    10,318.16/14,239.94 = 5,842.70/x
  3. Step 3: Cross multiply
    10,318.16x = 14,239.94 × 5,842.70
  4. Step 4: Simplify right side
    10,318.16x = 83,199,697.44
  5. Step 5: Solve for x
    x = 83,199,697.44/10,318.16
  6. Step 6: Final answer
    x = 8,063.42

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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.