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Finding the Fourth Proportional to 5,884.76, 8,111.21 and 5,728.93

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Solution

The fourth proportional to 5,884.76, 8,111.21 and 5,728.93 is: 7,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.76 : 8,111.21 = 5,728.93 : x
  2. Step 2: Convert to fraction form
    5,884.76/8,111.21 = 5,728.93/x
  3. Step 3: Cross multiply
    5,884.76x = 8,111.21 × 5,728.93
  4. Step 4: Simplify right side
    5,884.76x = 46,468,551.01
  5. Step 5: Solve for x
    x = 46,468,551.01/5,884.76
  6. Step 6: Final answer
    x = 7,896.43

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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.