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Finding the Fourth Proportional to 10,231.08, 15,326.46 and 9,511.08

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Solution

The fourth proportional to 10,231.08, 15,326.46 and 9,511.08 is: 14,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.08 : 15,326.46 = 9,511.08 : x
  2. Step 2: Convert to fraction form
    10,231.08/15,326.46 = 9,511.08/x
  3. Step 3: Cross multiply
    10,231.08x = 15,326.46 × 9,511.08
  4. Step 4: Simplify right side
    10,231.08x = 145,771,187.18
  5. Step 5: Solve for x
    x = 145,771,187.18/10,231.08
  6. Step 6: Final answer
    x = 14,247.88

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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.