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Finding the Fourth Proportional to 11,707.15, 16,146.79 and 6,986.47

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Solution

The fourth proportional to 11,707.15, 16,146.79 and 6,986.47 is: 9,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.15 : 16,146.79 = 6,986.47 : x
  2. Step 2: Convert to fraction form
    11,707.15/16,146.79 = 6,986.47/x
  3. Step 3: Cross multiply
    11,707.15x = 16,146.79 × 6,986.47
  4. Step 4: Simplify right side
    11,707.15x = 112,809,063.93
  5. Step 5: Solve for x
    x = 112,809,063.93/11,707.15
  6. Step 6: Final answer
    x = 9,635.91

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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.