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Finding the Fourth Proportional to 7,411.34, 11,116.20 and 2,216

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Solution

The fourth proportional to 7,411.34, 11,116.20 and 2,216 is: 3,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.34 : 11,116.20 = 2,216 : x
  2. Step 2: Convert to fraction form
    7,411.34/11,116.20 = 2,216/x
  3. Step 3: Cross multiply
    7,411.34x = 11,116.20 × 2,216
  4. Step 4: Simplify right side
    7,411.34x = 24,633,499.20
  5. Step 5: Solve for x
    x = 24,633,499.20/7,411.34
  6. Step 6: Final answer
    x = 3,323.76

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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.