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Finding the Fourth Proportional to 11,071.50, 15,278.10 and 6,035.70

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Solution

The fourth proportional to 11,071.50, 15,278.10 and 6,035.70 is: 8,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.50 : 15,278.10 = 6,035.70 : x
  2. Step 2: Convert to fraction form
    11,071.50/15,278.10 = 6,035.70/x
  3. Step 3: Cross multiply
    11,071.50x = 15,278.10 × 6,035.70
  4. Step 4: Simplify right side
    11,071.50x = 92,214,028.17
  5. Step 5: Solve for x
    x = 92,214,028.17/11,071.50
  6. Step 6: Final answer
    x = 8,328.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.