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Finding the Fourth Proportional to 11,610.56, 17,422.76 and 4,215.60

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Solution

The fourth proportional to 11,610.56, 17,422.76 and 4,215.60 is: 6,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.56 : 17,422.76 = 4,215.60 : x
  2. Step 2: Convert to fraction form
    11,610.56/17,422.76 = 4,215.60/x
  3. Step 3: Cross multiply
    11,610.56x = 17,422.76 × 4,215.60
  4. Step 4: Simplify right side
    11,610.56x = 73,447,387.06
  5. Step 5: Solve for x
    x = 73,447,387.06/11,610.56
  6. Step 6: Final answer
    x = 6,325.91

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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.