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Finding the Fourth Proportional to 11,678.53, 16,116.42 and 6,373.46

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Solution

The fourth proportional to 11,678.53, 16,116.42 and 6,373.46 is: 8,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.53 : 16,116.42 = 6,373.46 : x
  2. Step 2: Convert to fraction form
    11,678.53/16,116.42 = 6,373.46/x
  3. Step 3: Cross multiply
    11,678.53x = 16,116.42 × 6,373.46
  4. Step 4: Simplify right side
    11,678.53x = 102,717,394.29
  5. Step 5: Solve for x
    x = 102,717,394.29/11,678.53
  6. Step 6: Final answer
    x = 8,795.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.