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Finding the Fourth Proportional to 6,969.43, 10,457.39 and 2,588.41

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Solution

The fourth proportional to 6,969.43, 10,457.39 and 2,588.41 is: 3,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.43 : 10,457.39 = 2,588.41 : x
  2. Step 2: Convert to fraction form
    6,969.43/10,457.39 = 2,588.41/x
  3. Step 3: Cross multiply
    6,969.43x = 10,457.39 × 2,588.41
  4. Step 4: Simplify right side
    6,969.43x = 27,068,012.85
  5. Step 5: Solve for x
    x = 27,068,012.85/6,969.43
  6. Step 6: Final answer
    x = 3,883.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.