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Finding the Fourth Proportional to 10,099.69, 13,942.12 and 7,230.67

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Solution

The fourth proportional to 10,099.69, 13,942.12 and 7,230.67 is: 9,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.69 : 13,942.12 = 7,230.67 : x
  2. Step 2: Convert to fraction form
    10,099.69/13,942.12 = 7,230.67/x
  3. Step 3: Cross multiply
    10,099.69x = 13,942.12 × 7,230.67
  4. Step 4: Simplify right side
    10,099.69x = 100,810,868.82
  5. Step 5: Solve for x
    x = 100,810,868.82/10,099.69
  6. Step 6: Final answer
    x = 9,981.58

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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.