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Finding the Fourth Proportional to 6,507.40, 9,761.07 and 5,028.77

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Solution

The fourth proportional to 6,507.40, 9,761.07 and 5,028.77 is: 7,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.40 : 9,761.07 = 5,028.77 : x
  2. Step 2: Convert to fraction form
    6,507.40/9,761.07 = 5,028.77/x
  3. Step 3: Cross multiply
    6,507.40x = 9,761.07 × 5,028.77
  4. Step 4: Simplify right side
    6,507.40x = 49,086,175.98
  5. Step 5: Solve for x
    x = 49,086,175.98/6,507.40
  6. Step 6: Final answer
    x = 7,543.13

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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.