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Finding the Fourth Proportional to 7,118.82, 10,678.19 and 3,218.67

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Solution

The fourth proportional to 7,118.82, 10,678.19 and 3,218.67 is: 4,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.82 : 10,678.19 = 3,218.67 : x
  2. Step 2: Convert to fraction form
    7,118.82/10,678.19 = 3,218.67/x
  3. Step 3: Cross multiply
    7,118.82x = 10,678.19 × 3,218.67
  4. Step 4: Simplify right side
    7,118.82x = 34,369,553.71
  5. Step 5: Solve for x
    x = 34,369,553.71/7,118.82
  6. Step 6: Final answer
    x = 4,827.98

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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.