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Finding the Fourth Proportional to 7,761.10, 11,643.48 and 2,214.53

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Solution

The fourth proportional to 7,761.10, 11,643.48 and 2,214.53 is: 3,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.10 : 11,643.48 = 2,214.53 : x
  2. Step 2: Convert to fraction form
    7,761.10/11,643.48 = 2,214.53/x
  3. Step 3: Cross multiply
    7,761.10x = 11,643.48 × 2,214.53
  4. Step 4: Simplify right side
    7,761.10x = 25,784,835.76
  5. Step 5: Solve for x
    x = 25,784,835.76/7,761.10
  6. Step 6: Final answer
    x = 3,322.32

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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.