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Finding the Fourth Proportional to 8,188.25, 11,301.61 and 5,203.50

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Solution

The fourth proportional to 8,188.25, 11,301.61 and 5,203.50 is: 7,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.25 : 11,301.61 = 5,203.50 : x
  2. Step 2: Convert to fraction form
    8,188.25/11,301.61 = 5,203.50/x
  3. Step 3: Cross multiply
    8,188.25x = 11,301.61 × 5,203.50
  4. Step 4: Simplify right side
    8,188.25x = 58,807,927.64
  5. Step 5: Solve for x
    x = 58,807,927.64/8,188.25
  6. Step 6: Final answer
    x = 7,181.99

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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.