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Finding the Fourth Proportional to 11,270.75, 16,886.08 and 9,610.46

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Solution

The fourth proportional to 11,270.75, 16,886.08 and 9,610.46 is: 14,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.75 : 16,886.08 = 9,610.46 : x
  2. Step 2: Convert to fraction form
    11,270.75/16,886.08 = 9,610.46/x
  3. Step 3: Cross multiply
    11,270.75x = 16,886.08 × 9,610.46
  4. Step 4: Simplify right side
    11,270.75x = 162,282,863.91
  5. Step 5: Solve for x
    x = 162,282,863.91/11,270.75
  6. Step 6: Final answer
    x = 14,398.59

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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.