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Finding the Fourth Proportional to 10,517.10, 14,512.93 and 5,801.41

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Solution

The fourth proportional to 10,517.10, 14,512.93 and 5,801.41 is: 8,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.10 : 14,512.93 = 5,801.41 : x
  2. Step 2: Convert to fraction form
    10,517.10/14,512.93 = 5,801.41/x
  3. Step 3: Cross multiply
    10,517.10x = 14,512.93 × 5,801.41
  4. Step 4: Simplify right side
    10,517.10x = 84,195,457.23
  5. Step 5: Solve for x
    x = 84,195,457.23/10,517.10
  6. Step 6: Final answer
    x = 8,005.58

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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.