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Finding the Fourth Proportional to 12,071.32, 16,657.06 and 6,765.37

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Solution

The fourth proportional to 12,071.32, 16,657.06 and 6,765.37 is: 9,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.32 : 16,657.06 = 6,765.37 : x
  2. Step 2: Convert to fraction form
    12,071.32/16,657.06 = 6,765.37/x
  3. Step 3: Cross multiply
    12,071.32x = 16,657.06 × 6,765.37
  4. Step 4: Simplify right side
    12,071.32x = 112,691,090.73
  5. Step 5: Solve for x
    x = 112,691,090.73/12,071.32
  6. Step 6: Final answer
    x = 9,335.44

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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.