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Finding the Fourth Proportional to 10,394.41, 14,343.60 and 5,918.62

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Solution

The fourth proportional to 10,394.41, 14,343.60 and 5,918.62 is: 8,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.41 : 14,343.60 = 5,918.62 : x
  2. Step 2: Convert to fraction form
    10,394.41/14,343.60 = 5,918.62/x
  3. Step 3: Cross multiply
    10,394.41x = 14,343.60 × 5,918.62
  4. Step 4: Simplify right side
    10,394.41x = 84,894,317.83
  5. Step 5: Solve for x
    x = 84,894,317.83/10,394.41
  6. Step 6: Final answer
    x = 8,167.31

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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.