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Finding the Fourth Proportional to 7,661.34, 11,472.48 and 7,019.82

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Solution

The fourth proportional to 7,661.34, 11,472.48 and 7,019.82 is: 10,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.34 : 11,472.48 = 7,019.82 : x
  2. Step 2: Convert to fraction form
    7,661.34/11,472.48 = 7,019.82/x
  3. Step 3: Cross multiply
    7,661.34x = 11,472.48 × 7,019.82
  4. Step 4: Simplify right side
    7,661.34x = 80,534,744.55
  5. Step 5: Solve for x
    x = 80,534,744.55/7,661.34
  6. Step 6: Final answer
    x = 10,511.84

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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.