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Finding the Fourth Proportional to 8,433.74, 11,638.51 and 4,657.15

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Solution

The fourth proportional to 8,433.74, 11,638.51 and 4,657.15 is: 6,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.74 : 11,638.51 = 4,657.15 : x
  2. Step 2: Convert to fraction form
    8,433.74/11,638.51 = 4,657.15/x
  3. Step 3: Cross multiply
    8,433.74x = 11,638.51 × 4,657.15
  4. Step 4: Simplify right side
    8,433.74x = 54,202,224.29
  5. Step 5: Solve for x
    x = 54,202,224.29/8,433.74
  6. Step 6: Final answer
    x = 6,426.83

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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.