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Finding the Fourth Proportional to 11,023.12, 15,212.66 and 6,243

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Solution

The fourth proportional to 11,023.12, 15,212.66 and 6,243 is: 8,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.12 : 15,212.66 = 6,243 : x
  2. Step 2: Convert to fraction form
    11,023.12/15,212.66 = 6,243/x
  3. Step 3: Cross multiply
    11,023.12x = 15,212.66 × 6,243
  4. Step 4: Simplify right side
    11,023.12x = 94,972,636.38
  5. Step 5: Solve for x
    x = 94,972,636.38/11,023.12
  6. Step 6: Final answer
    x = 8,615.77

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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.