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Finding the Fourth Proportional to 11,815.68, 17,727.60 and 5,246.46

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Solution

The fourth proportional to 11,815.68, 17,727.60 and 5,246.46 is: 7,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.68 : 17,727.60 = 5,246.46 : x
  2. Step 2: Convert to fraction form
    11,815.68/17,727.60 = 5,246.46/x
  3. Step 3: Cross multiply
    11,815.68x = 17,727.60 × 5,246.46
  4. Step 4: Simplify right side
    11,815.68x = 93,007,144.30
  5. Step 5: Solve for x
    x = 93,007,144.30/11,815.68
  6. Step 6: Final answer
    x = 7,871.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.