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Finding the Fourth Proportional to 5,863.74, 8,047.86 and 5,363.16

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Solution

The fourth proportional to 5,863.74, 8,047.86 and 5,363.16 is: 7,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.74 : 8,047.86 = 5,363.16 : x
  2. Step 2: Convert to fraction form
    5,863.74/8,047.86 = 5,363.16/x
  3. Step 3: Cross multiply
    5,863.74x = 8,047.86 × 5,363.16
  4. Step 4: Simplify right side
    5,863.74x = 43,161,960.84
  5. Step 5: Solve for x
    x = 43,161,960.84/5,863.74
  6. Step 6: Final answer
    x = 7,360.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.