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Finding the Fourth Proportional to 10,103.36, 13,949.01 and 7,446.14

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Solution

The fourth proportional to 10,103.36, 13,949.01 and 7,446.14 is: 10,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.36 : 13,949.01 = 7,446.14 : x
  2. Step 2: Convert to fraction form
    10,103.36/13,949.01 = 7,446.14/x
  3. Step 3: Cross multiply
    10,103.36x = 13,949.01 × 7,446.14
  4. Step 4: Simplify right side
    10,103.36x = 103,866,239.50
  5. Step 5: Solve for x
    x = 103,866,239.50/10,103.36
  6. Step 6: Final answer
    x = 10,280.37

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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.