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Finding the Fourth Proportional to 11,678.71, 16,117.02 and 6,373.82

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Solution

The fourth proportional to 11,678.71, 16,117.02 and 6,373.82 is: 8,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.71 : 16,117.02 = 6,373.82 : x
  2. Step 2: Convert to fraction form
    11,678.71/16,117.02 = 6,373.82/x
  3. Step 3: Cross multiply
    11,678.71x = 16,117.02 × 6,373.82
  4. Step 4: Simplify right side
    11,678.71x = 102,726,984.42
  5. Step 5: Solve for x
    x = 102,726,984.42/11,678.71
  6. Step 6: Final answer
    x = 8,796.09

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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.