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Finding the Fourth Proportional to 7,761.63, 11,626.52 and 5,254.95

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Solution

The fourth proportional to 7,761.63, 11,626.52 and 5,254.95 is: 7,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.63 : 11,626.52 = 5,254.95 : x
  2. Step 2: Convert to fraction form
    7,761.63/11,626.52 = 5,254.95/x
  3. Step 3: Cross multiply
    7,761.63x = 11,626.52 × 5,254.95
  4. Step 4: Simplify right side
    7,761.63x = 61,096,755.00
  5. Step 5: Solve for x
    x = 61,096,755.00/7,761.63
  6. Step 6: Final answer
    x = 7,871.64

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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.