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Finding the Fourth Proportional to 7,723.68, 10,656 and 4,737.24

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Solution

The fourth proportional to 7,723.68, 10,656 and 4,737.24 is: 6,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.68 : 10,656 = 4,737.24 : x
  2. Step 2: Convert to fraction form
    7,723.68/10,656 = 4,737.24/x
  3. Step 3: Cross multiply
    7,723.68x = 10,656 × 4,737.24
  4. Step 4: Simplify right side
    7,723.68x = 50,480,029.44
  5. Step 5: Solve for x
    x = 50,480,029.44/7,723.68
  6. Step 6: Final answer
    x = 6,535.75

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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.