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Finding the Fourth Proportional to 6,264.86, 8,641.71 and 4,140.41

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Solution

The fourth proportional to 6,264.86, 8,641.71 and 4,140.41 is: 5,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.86 : 8,641.71 = 4,140.41 : x
  2. Step 2: Convert to fraction form
    6,264.86/8,641.71 = 4,140.41/x
  3. Step 3: Cross multiply
    6,264.86x = 8,641.71 × 4,140.41
  4. Step 4: Simplify right side
    6,264.86x = 35,780,222.50
  5. Step 5: Solve for x
    x = 35,780,222.50/6,264.86
  6. Step 6: Final answer
    x = 5,711.26

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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.