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Finding the Fourth Proportional to 11,700.68, 16,146.08 and 6,664.72

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Solution

The fourth proportional to 11,700.68, 16,146.08 and 6,664.72 is: 9,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.68 : 16,146.08 = 6,664.72 : x
  2. Step 2: Convert to fraction form
    11,700.68/16,146.08 = 6,664.72/x
  3. Step 3: Cross multiply
    11,700.68x = 16,146.08 × 6,664.72
  4. Step 4: Simplify right side
    11,700.68x = 107,609,102.30
  5. Step 5: Solve for x
    x = 107,609,102.30/11,700.68
  6. Step 6: Final answer
    x = 9,196.82

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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.