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Finding the Fourth Proportional to 11,342.58, 15,660.38 and 10,143.84

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Solution

The fourth proportional to 11,342.58, 15,660.38 and 10,143.84 is: 14,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.58 : 15,660.38 = 10,143.84 : x
  2. Step 2: Convert to fraction form
    11,342.58/15,660.38 = 10,143.84/x
  3. Step 3: Cross multiply
    11,342.58x = 15,660.38 × 10,143.84
  4. Step 4: Simplify right side
    11,342.58x = 158,856,389.06
  5. Step 5: Solve for x
    x = 158,856,389.06/11,342.58
  6. Step 6: Final answer
    x = 14,005.31

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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.