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Finding the Fourth Proportional to 8,307.98, 12,464.06 and 2,761.34

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Solution

The fourth proportional to 8,307.98, 12,464.06 and 2,761.34 is: 4,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.98 : 12,464.06 = 2,761.34 : x
  2. Step 2: Convert to fraction form
    8,307.98/12,464.06 = 2,761.34/x
  3. Step 3: Cross multiply
    8,307.98x = 12,464.06 × 2,761.34
  4. Step 4: Simplify right side
    8,307.98x = 34,417,431.31
  5. Step 5: Solve for x
    x = 34,417,431.31/8,307.98
  6. Step 6: Final answer
    x = 4,142.70

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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.