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Finding the Fourth Proportional to 8,761.85, 13,075.72 and 7,826.90

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Solution

The fourth proportional to 8,761.85, 13,075.72 and 7,826.90 is: 11,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.85 : 13,075.72 = 7,826.90 : x
  2. Step 2: Convert to fraction form
    8,761.85/13,075.72 = 7,826.90/x
  3. Step 3: Cross multiply
    8,761.85x = 13,075.72 × 7,826.90
  4. Step 4: Simplify right side
    8,761.85x = 102,342,351.31
  5. Step 5: Solve for x
    x = 102,342,351.31/8,761.85
  6. Step 6: Final answer
    x = 11,680.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.