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Finding the Fourth Proportional to 7,712.33, 10,643.22 and 4,729.81

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Solution

The fourth proportional to 7,712.33, 10,643.22 and 4,729.81 is: 6,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.33 : 10,643.22 = 4,729.81 : x
  2. Step 2: Convert to fraction form
    7,712.33/10,643.22 = 4,729.81/x
  3. Step 3: Cross multiply
    7,712.33x = 10,643.22 × 4,729.81
  4. Step 4: Simplify right side
    7,712.33x = 50,340,439.99
  5. Step 5: Solve for x
    x = 50,340,439.99/7,712.33
  6. Step 6: Final answer
    x = 6,527.26

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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.