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Finding the Fourth Proportional to 11,473.31, 15,803.67 and 8,110.34

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Solution

The fourth proportional to 11,473.31, 15,803.67 and 8,110.34 is: 11,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.31 : 15,803.67 = 8,110.34 : x
  2. Step 2: Convert to fraction form
    11,473.31/15,803.67 = 8,110.34/x
  3. Step 3: Cross multiply
    11,473.31x = 15,803.67 × 8,110.34
  4. Step 4: Simplify right side
    11,473.31x = 128,173,196.21
  5. Step 5: Solve for x
    x = 128,173,196.21/11,473.31
  6. Step 6: Final answer
    x = 11,171.42

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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.