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Finding the Fourth Proportional to 11,686.50, 16,127.40 and 7,494.76

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Solution

The fourth proportional to 11,686.50, 16,127.40 and 7,494.76 is: 10,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.50 : 16,127.40 = 7,494.76 : x
  2. Step 2: Convert to fraction form
    11,686.50/16,127.40 = 7,494.76/x
  3. Step 3: Cross multiply
    11,686.50x = 16,127.40 × 7,494.76
  4. Step 4: Simplify right side
    11,686.50x = 120,870,992.42
  5. Step 5: Solve for x
    x = 120,870,992.42/11,686.50
  6. Step 6: Final answer
    x = 10,342.79

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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.