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Finding the Fourth Proportional to 11,558.52, 15,951.06 and 6,846.48

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Solution

The fourth proportional to 11,558.52, 15,951.06 and 6,846.48 is: 9,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.52 : 15,951.06 = 6,846.48 : x
  2. Step 2: Convert to fraction form
    11,558.52/15,951.06 = 6,846.48/x
  3. Step 3: Cross multiply
    11,558.52x = 15,951.06 × 6,846.48
  4. Step 4: Simplify right side
    11,558.52x = 109,208,613.27
  5. Step 5: Solve for x
    x = 109,208,613.27/11,558.52
  6. Step 6: Final answer
    x = 9,448.32

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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.