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Finding the Fourth Proportional to 11,451.96, 15,801.39 and 8,270.01

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Solution

The fourth proportional to 11,451.96, 15,801.39 and 8,270.01 is: 11,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.96 : 15,801.39 = 8,270.01 : x
  2. Step 2: Convert to fraction form
    11,451.96/15,801.39 = 8,270.01/x
  3. Step 3: Cross multiply
    11,451.96x = 15,801.39 × 8,270.01
  4. Step 4: Simplify right side
    11,451.96x = 130,677,653.31
  5. Step 5: Solve for x
    x = 130,677,653.31/11,451.96
  6. Step 6: Final answer
    x = 11,410.94

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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.