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Finding the Fourth Proportional to 11,103.88, 15,323.36 and 6,135.88

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Solution

The fourth proportional to 11,103.88, 15,323.36 and 6,135.88 is: 8,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.88 : 15,323.36 = 6,135.88 : x
  2. Step 2: Convert to fraction form
    11,103.88/15,323.36 = 6,135.88/x
  3. Step 3: Cross multiply
    11,103.88x = 15,323.36 × 6,135.88
  4. Step 4: Simplify right side
    11,103.88x = 94,022,298.16
  5. Step 5: Solve for x
    x = 94,022,298.16/11,103.88
  6. Step 6: Final answer
    x = 8,467.52

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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.