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Finding the Fourth Proportional to 7,723.26, 10,655.60 and 4,737.60

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Solution

The fourth proportional to 7,723.26, 10,655.60 and 4,737.60 is: 6,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.26 : 10,655.60 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    7,723.26/10,655.60 = 4,737.60/x
  3. Step 3: Cross multiply
    7,723.26x = 10,655.60 × 4,737.60
  4. Step 4: Simplify right side
    7,723.26x = 50,481,970.56
  5. Step 5: Solve for x
    x = 50,481,970.56/7,723.26
  6. Step 6: Final answer
    x = 6,536.36

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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.