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Finding the Fourth Proportional to 7,737.23, 10,682.93 and 4,757.06

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Solution

The fourth proportional to 7,737.23, 10,682.93 and 4,757.06 is: 6,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.23 : 10,682.93 = 4,757.06 : x
  2. Step 2: Convert to fraction form
    7,737.23/10,682.93 = 4,757.06/x
  3. Step 3: Cross multiply
    7,737.23x = 10,682.93 × 4,757.06
  4. Step 4: Simplify right side
    7,737.23x = 50,819,338.99
  5. Step 5: Solve for x
    x = 50,819,338.99/7,737.23
  6. Step 6: Final answer
    x = 6,568.16

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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.