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Finding the Fourth Proportional to 10,301.36, 15,409.73 and 8,225.42

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Solution

The fourth proportional to 10,301.36, 15,409.73 and 8,225.42 is: 12,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.36 : 15,409.73 = 8,225.42 : x
  2. Step 2: Convert to fraction form
    10,301.36/15,409.73 = 8,225.42/x
  3. Step 3: Cross multiply
    10,301.36x = 15,409.73 × 8,225.42
  4. Step 4: Simplify right side
    10,301.36x = 126,751,560.42
  5. Step 5: Solve for x
    x = 126,751,560.42/10,301.36
  6. Step 6: Final answer
    x = 12,304.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.