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Finding the Fourth Proportional to 11,071.27, 15,278.15 and 6,035.54

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Solution

The fourth proportional to 11,071.27, 15,278.15 and 6,035.54 is: 8,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.27 : 15,278.15 = 6,035.54 : x
  2. Step 2: Convert to fraction form
    11,071.27/15,278.15 = 6,035.54/x
  3. Step 3: Cross multiply
    11,071.27x = 15,278.15 × 6,035.54
  4. Step 4: Simplify right side
    11,071.27x = 92,211,867.12
  5. Step 5: Solve for x
    x = 92,211,867.12/11,071.27
  6. Step 6: Final answer
    x = 8,328.93

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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.