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Finding the Fourth Proportional to 11,700, 16,146 and 6,734.88

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Solution

The fourth proportional to 11,700, 16,146 and 6,734.88 is: 9,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 16,146 = 6,734.88 : x
  2. Step 2: Convert to fraction form
    11,700/16,146 = 6,734.88/x
  3. Step 3: Cross multiply
    11,700x = 16,146 × 6,734.88
  4. Step 4: Simplify right side
    11,700x = 108,741,372.48
  5. Step 5: Solve for x
    x = 108,741,372.48/11,700
  6. Step 6: Final answer
    x = 9,294.13

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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.