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Finding the Fourth Proportional to 7,102.69, 10,645.90 and 3,984.12

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Solution

The fourth proportional to 7,102.69, 10,645.90 and 3,984.12 is: 5,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.69 : 10,645.90 = 3,984.12 : x
  2. Step 2: Convert to fraction form
    7,102.69/10,645.90 = 3,984.12/x
  3. Step 3: Cross multiply
    7,102.69x = 10,645.90 × 3,984.12
  4. Step 4: Simplify right side
    7,102.69x = 42,414,533.15
  5. Step 5: Solve for x
    x = 42,414,533.15/7,102.69
  6. Step 6: Final answer
    x = 5,971.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.