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Finding the Fourth Proportional to 7,246.74, 10,865.64 and 2,566.20

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Solution

The fourth proportional to 7,246.74, 10,865.64 and 2,566.20 is: 3,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.74 : 10,865.64 = 2,566.20 : x
  2. Step 2: Convert to fraction form
    7,246.74/10,865.64 = 2,566.20/x
  3. Step 3: Cross multiply
    7,246.74x = 10,865.64 × 2,566.20
  4. Step 4: Simplify right side
    7,246.74x = 27,883,405.37
  5. Step 5: Solve for x
    x = 27,883,405.37/7,246.74
  6. Step 6: Final answer
    x = 3,847.72

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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.