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Finding the Fourth Proportional to 10,241.24, 14,128.17 and 7,404.11

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Solution

The fourth proportional to 10,241.24, 14,128.17 and 7,404.11 is: 10,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.24 : 14,128.17 = 7,404.11 : x
  2. Step 2: Convert to fraction form
    10,241.24/14,128.17 = 7,404.11/x
  3. Step 3: Cross multiply
    10,241.24x = 14,128.17 × 7,404.11
  4. Step 4: Simplify right side
    10,241.24x = 104,606,454.14
  5. Step 5: Solve for x
    x = 104,606,454.14/10,241.24
  6. Step 6: Final answer
    x = 10,214.24

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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.