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Finding the Fourth Proportional to 11,686.70, 16,128.86 and 6,908.19

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Solution

The fourth proportional to 11,686.70, 16,128.86 and 6,908.19 is: 9,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.70 : 16,128.86 = 6,908.19 : x
  2. Step 2: Convert to fraction form
    11,686.70/16,128.86 = 6,908.19/x
  3. Step 3: Cross multiply
    11,686.70x = 16,128.86 × 6,908.19
  4. Step 4: Simplify right side
    11,686.70x = 111,421,194.82
  5. Step 5: Solve for x
    x = 111,421,194.82/11,686.70
  6. Step 6: Final answer
    x = 9,534.02

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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.