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Finding the Fourth Proportional to 11,093.70, 15,311.88 and 7,317.54

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Solution

The fourth proportional to 11,093.70, 15,311.88 and 7,317.54 is: 10,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.70 : 15,311.88 = 7,317.54 : x
  2. Step 2: Convert to fraction form
    11,093.70/15,311.88 = 7,317.54/x
  3. Step 3: Cross multiply
    11,093.70x = 15,311.88 × 7,317.54
  4. Step 4: Simplify right side
    11,093.70x = 112,045,294.38
  5. Step 5: Solve for x
    x = 112,045,294.38/11,093.70
  6. Step 6: Final answer
    x = 10,099.90

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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.