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Finding the Fourth Proportional to 7,773.47, 10,727.64 and 4,236.91

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Solution

The fourth proportional to 7,773.47, 10,727.64 and 4,236.91 is: 5,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.47 : 10,727.64 = 4,236.91 : x
  2. Step 2: Convert to fraction form
    7,773.47/10,727.64 = 4,236.91/x
  3. Step 3: Cross multiply
    7,773.47x = 10,727.64 × 4,236.91
  4. Step 4: Simplify right side
    7,773.47x = 45,452,018.37
  5. Step 5: Solve for x
    x = 45,452,018.37/7,773.47
  6. Step 6: Final answer
    x = 5,847.07

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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.