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Finding the Fourth Proportional to 7,768.77, 10,724.48 and 4,581.02

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Solution

The fourth proportional to 7,768.77, 10,724.48 and 4,581.02 is: 6,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.77 : 10,724.48 = 4,581.02 : x
  2. Step 2: Convert to fraction form
    7,768.77/10,724.48 = 4,581.02/x
  3. Step 3: Cross multiply
    7,768.77x = 10,724.48 × 4,581.02
  4. Step 4: Simplify right side
    7,768.77x = 49,129,015.20
  5. Step 5: Solve for x
    x = 49,129,015.20/7,768.77
  6. Step 6: Final answer
    x = 6,323.91

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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.