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Finding the Fourth Proportional to 8,457.43, 11,672.47 and 4,921.78

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Solution

The fourth proportional to 8,457.43, 11,672.47 and 4,921.78 is: 6,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.43 : 11,672.47 = 4,921.78 : x
  2. Step 2: Convert to fraction form
    8,457.43/11,672.47 = 4,921.78/x
  3. Step 3: Cross multiply
    8,457.43x = 11,672.47 × 4,921.78
  4. Step 4: Simplify right side
    8,457.43x = 57,449,329.40
  5. Step 5: Solve for x
    x = 57,449,329.40/8,457.43
  6. Step 6: Final answer
    x = 6,792.76

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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.