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Finding the Fourth Proportional to 7,378.69, 11,064.39 and 6,678.85

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Solution

The fourth proportional to 7,378.69, 11,064.39 and 6,678.85 is: 10,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.69 : 11,064.39 = 6,678.85 : x
  2. Step 2: Convert to fraction form
    7,378.69/11,064.39 = 6,678.85/x
  3. Step 3: Cross multiply
    7,378.69x = 11,064.39 × 6,678.85
  4. Step 4: Simplify right side
    7,378.69x = 73,897,401.15
  5. Step 5: Solve for x
    x = 73,897,401.15/7,378.69
  6. Step 6: Final answer
    x = 10,014.98

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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.