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Finding the Fourth Proportional to 11,610.72, 17,377.20 and 9,530.64

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Solution

The fourth proportional to 11,610.72, 17,377.20 and 9,530.64 is: 14,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.72 : 17,377.20 = 9,530.64 : x
  2. Step 2: Convert to fraction form
    11,610.72/17,377.20 = 9,530.64/x
  3. Step 3: Cross multiply
    11,610.72x = 17,377.20 × 9,530.64
  4. Step 4: Simplify right side
    11,610.72x = 165,615,837.41
  5. Step 5: Solve for x
    x = 165,615,837.41/11,610.72
  6. Step 6: Final answer
    x = 14,264.05

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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.