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Finding the Fourth Proportional to 10,318.44, 14,239.64 and 5,842.20

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Solution

The fourth proportional to 10,318.44, 14,239.64 and 5,842.20 is: 8,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.44 : 14,239.64 = 5,842.20 : x
  2. Step 2: Convert to fraction form
    10,318.44/14,239.64 = 5,842.20/x
  3. Step 3: Cross multiply
    10,318.44x = 14,239.64 × 5,842.20
  4. Step 4: Simplify right side
    10,318.44x = 83,190,824.81
  5. Step 5: Solve for x
    x = 83,190,824.81/10,318.44
  6. Step 6: Final answer
    x = 8,062.35

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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.