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Finding the Fourth Proportional to 11,678.78, 16,116.47 and 6,373.69

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Solution

The fourth proportional to 11,678.78, 16,116.47 and 6,373.69 is: 8,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.78 : 16,116.47 = 6,373.69 : x
  2. Step 2: Convert to fraction form
    11,678.78/16,116.47 = 6,373.69/x
  3. Step 3: Cross multiply
    11,678.78x = 16,116.47 × 6,373.69
  4. Step 4: Simplify right side
    11,678.78x = 102,721,335.42
  5. Step 5: Solve for x
    x = 102,721,335.42/11,678.78
  6. Step 6: Final answer
    x = 8,795.55

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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.