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Finding the Fourth Proportional to 7,773.06, 10,728.48 and 5,120.70

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Solution

The fourth proportional to 7,773.06, 10,728.48 and 5,120.70 is: 7,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.06 : 10,728.48 = 5,120.70 : x
  2. Step 2: Convert to fraction form
    7,773.06/10,728.48 = 5,120.70/x
  3. Step 3: Cross multiply
    7,773.06x = 10,728.48 × 5,120.70
  4. Step 4: Simplify right side
    7,773.06x = 54,937,327.54
  5. Step 5: Solve for x
    x = 54,937,327.54/7,773.06
  6. Step 6: Final answer
    x = 7,067.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.