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Finding the Fourth Proportional to 11,071.27, 15,278.05 and 6,035.60

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Solution

The fourth proportional to 11,071.27, 15,278.05 and 6,035.60 is: 8,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.27 : 15,278.05 = 6,035.60 : x
  2. Step 2: Convert to fraction form
    11,071.27/15,278.05 = 6,035.60/x
  3. Step 3: Cross multiply
    11,071.27x = 15,278.05 × 6,035.60
  4. Step 4: Simplify right side
    11,071.27x = 92,212,129.73
  5. Step 5: Solve for x
    x = 92,212,129.73/11,071.27
  6. Step 6: Final answer
    x = 8,328.96

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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.