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Finding the Fourth Proportional to 6,515.84, 9,761.16 and 4,051.64

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Solution

The fourth proportional to 6,515.84, 9,761.16 and 4,051.64 is: 6,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.84 : 9,761.16 = 4,051.64 : x
  2. Step 2: Convert to fraction form
    6,515.84/9,761.16 = 4,051.64/x
  3. Step 3: Cross multiply
    6,515.84x = 9,761.16 × 4,051.64
  4. Step 4: Simplify right side
    6,515.84x = 39,548,706.30
  5. Step 5: Solve for x
    x = 39,548,706.30/6,515.84
  6. Step 6: Final answer
    x = 6,069.63

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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.