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Finding the Fourth Proportional to 11,700.18, 16,141.42 and 8,506.47

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Solution

The fourth proportional to 11,700.18, 16,141.42 and 8,506.47 is: 11,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.18 : 16,141.42 = 8,506.47 : x
  2. Step 2: Convert to fraction form
    11,700.18/16,141.42 = 8,506.47/x
  3. Step 3: Cross multiply
    11,700.18x = 16,141.42 × 8,506.47
  4. Step 4: Simplify right side
    11,700.18x = 137,306,504.99
  5. Step 5: Solve for x
    x = 137,306,504.99/11,700.18
  6. Step 6: Final answer
    x = 11,735.42

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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.