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Finding the Fourth Proportional to 12,071.64, 16,656.78 and 6,765.72

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Solution

The fourth proportional to 12,071.64, 16,656.78 and 6,765.72 is: 9,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.64 : 16,656.78 = 6,765.72 : x
  2. Step 2: Convert to fraction form
    12,071.64/16,656.78 = 6,765.72/x
  3. Step 3: Cross multiply
    12,071.64x = 16,656.78 × 6,765.72
  4. Step 4: Simplify right side
    12,071.64x = 112,695,109.58
  5. Step 5: Solve for x
    x = 112,695,109.58/12,071.64
  6. Step 6: Final answer
    x = 9,335.53

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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.