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Finding the Fourth Proportional to 10,402.20, 14,361.58 and 7,214.31

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Solution

The fourth proportional to 10,402.20, 14,361.58 and 7,214.31 is: 9,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.20 : 14,361.58 = 7,214.31 : x
  2. Step 2: Convert to fraction form
    10,402.20/14,361.58 = 7,214.31/x
  3. Step 3: Cross multiply
    10,402.20x = 14,361.58 × 7,214.31
  4. Step 4: Simplify right side
    10,402.20x = 103,608,914.49
  5. Step 5: Solve for x
    x = 103,608,914.49/10,402.20
  6. Step 6: Final answer
    x = 9,960.29

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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.