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Finding the Fourth Proportional to 10,293.12, 14,203.65 and 5,817.25

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Solution

The fourth proportional to 10,293.12, 14,203.65 and 5,817.25 is: 8,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.12 : 14,203.65 = 5,817.25 : x
  2. Step 2: Convert to fraction form
    10,293.12/14,203.65 = 5,817.25/x
  3. Step 3: Cross multiply
    10,293.12x = 14,203.65 × 5,817.25
  4. Step 4: Simplify right side
    10,293.12x = 82,626,182.96
  5. Step 5: Solve for x
    x = 82,626,182.96/10,293.12
  6. Step 6: Final answer
    x = 8,027.32

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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.