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Finding the Fourth Proportional to 10,218.16, 14,101.05 and 5,972.14

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Solution

The fourth proportional to 10,218.16, 14,101.05 and 5,972.14 is: 8,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.16 : 14,101.05 = 5,972.14 : x
  2. Step 2: Convert to fraction form
    10,218.16/14,101.05 = 5,972.14/x
  3. Step 3: Cross multiply
    10,218.16x = 14,101.05 × 5,972.14
  4. Step 4: Simplify right side
    10,218.16x = 84,213,444.75
  5. Step 5: Solve for x
    x = 84,213,444.75/10,218.16
  6. Step 6: Final answer
    x = 8,241.55

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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.