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Finding the Fourth Proportional to 11,005.38, 15,187.05 and 6,225.48

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Solution

The fourth proportional to 11,005.38, 15,187.05 and 6,225.48 is: 8,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.38 : 15,187.05 = 6,225.48 : x
  2. Step 2: Convert to fraction form
    11,005.38/15,187.05 = 6,225.48/x
  3. Step 3: Cross multiply
    11,005.38x = 15,187.05 × 6,225.48
  4. Step 4: Simplify right side
    11,005.38x = 94,546,676.03
  5. Step 5: Solve for x
    x = 94,546,676.03/11,005.38
  6. Step 6: Final answer
    x = 8,590.95

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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.