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Finding the Fourth Proportional to 6,280.86, 8,664.32 and 4,263.57

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Solution

The fourth proportional to 6,280.86, 8,664.32 and 4,263.57 is: 5,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.86 : 8,664.32 = 4,263.57 : x
  2. Step 2: Convert to fraction form
    6,280.86/8,664.32 = 4,263.57/x
  3. Step 3: Cross multiply
    6,280.86x = 8,664.32 × 4,263.57
  4. Step 4: Simplify right side
    6,280.86x = 36,940,913.50
  5. Step 5: Solve for x
    x = 36,940,913.50/6,280.86
  6. Step 6: Final answer
    x = 5,881.51

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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.