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Finding the Fourth Proportional to 5,863.29, 8,095.10 and 5,232.72

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Solution

The fourth proportional to 5,863.29, 8,095.10 and 5,232.72 is: 7,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.29 : 8,095.10 = 5,232.72 : x
  2. Step 2: Convert to fraction form
    5,863.29/8,095.10 = 5,232.72/x
  3. Step 3: Cross multiply
    5,863.29x = 8,095.10 × 5,232.72
  4. Step 4: Simplify right side
    5,863.29x = 42,359,391.67
  5. Step 5: Solve for x
    x = 42,359,391.67/5,863.29
  6. Step 6: Final answer
    x = 7,224.51

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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.