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Finding the Fourth Proportional to 7,758.30, 11,639.27 and 2,211.72

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Solution

The fourth proportional to 7,758.30, 11,639.27 and 2,211.72 is: 3,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.30 : 11,639.27 = 2,211.72 : x
  2. Step 2: Convert to fraction form
    7,758.30/11,639.27 = 2,211.72/x
  3. Step 3: Cross multiply
    7,758.30x = 11,639.27 × 2,211.72
  4. Step 4: Simplify right side
    7,758.30x = 25,742,806.24
  5. Step 5: Solve for x
    x = 25,742,806.24/7,758.30
  6. Step 6: Final answer
    x = 3,318.10

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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.