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Finding the Fourth Proportional to 6,133.40, 8,471.84 and 5,335.16

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Solution

The fourth proportional to 6,133.40, 8,471.84 and 5,335.16 is: 7,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.40 : 8,471.84 = 5,335.16 : x
  2. Step 2: Convert to fraction form
    6,133.40/8,471.84 = 5,335.16/x
  3. Step 3: Cross multiply
    6,133.40x = 8,471.84 × 5,335.16
  4. Step 4: Simplify right side
    6,133.40x = 45,198,621.89
  5. Step 5: Solve for x
    x = 45,198,621.89/6,133.40
  6. Step 6: Final answer
    x = 7,369.26

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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.