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Finding the Fourth Proportional to 7,761.08, 11,643.42 and 2,214.50

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Solution

The fourth proportional to 7,761.08, 11,643.42 and 2,214.50 is: 3,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.08 : 11,643.42 = 2,214.50 : x
  2. Step 2: Convert to fraction form
    7,761.08/11,643.42 = 2,214.50/x
  3. Step 3: Cross multiply
    7,761.08x = 11,643.42 × 2,214.50
  4. Step 4: Simplify right side
    7,761.08x = 25,784,295.37
  5. Step 5: Solve for x
    x = 25,784,295.37/7,761.08
  6. Step 6: Final answer
    x = 3,322.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.