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Finding the Fourth Proportional to 11,645.74, 16,071.44 and 6,610.18

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Solution

The fourth proportional to 11,645.74, 16,071.44 and 6,610.18 is: 9,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.74 : 16,071.44 = 6,610.18 : x
  2. Step 2: Convert to fraction form
    11,645.74/16,071.44 = 6,610.18/x
  3. Step 3: Cross multiply
    11,645.74x = 16,071.44 × 6,610.18
  4. Step 4: Simplify right side
    11,645.74x = 106,235,111.26
  5. Step 5: Solve for x
    x = 106,235,111.26/11,645.74
  6. Step 6: Final answer
    x = 9,122.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.