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Finding the Fourth Proportional to 7,678.04, 11,513.66 and 3,520.67

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Solution

The fourth proportional to 7,678.04, 11,513.66 and 3,520.67 is: 5,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.04 : 11,513.66 = 3,520.67 : x
  2. Step 2: Convert to fraction form
    7,678.04/11,513.66 = 3,520.67/x
  3. Step 3: Cross multiply
    7,678.04x = 11,513.66 × 3,520.67
  4. Step 4: Simplify right side
    7,678.04x = 40,535,722.18
  5. Step 5: Solve for x
    x = 40,535,722.18/7,678.04
  6. Step 6: Final answer
    x = 5,279.44

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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.