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Finding the Fourth Proportional to 10,293.57, 14,205.74 and 5,817.21

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Solution

The fourth proportional to 10,293.57, 14,205.74 and 5,817.21 is: 8,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.57 : 14,205.74 = 5,817.21 : x
  2. Step 2: Convert to fraction form
    10,293.57/14,205.74 = 5,817.21/x
  3. Step 3: Cross multiply
    10,293.57x = 14,205.74 × 5,817.21
  4. Step 4: Simplify right side
    10,293.57x = 82,637,772.79
  5. Step 5: Solve for x
    x = 82,637,772.79/10,293.57
  6. Step 6: Final answer
    x = 8,028.10

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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.