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Finding the Fourth Proportional to 10,189.52, 14,061.03 and 5,997.50

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Solution

The fourth proportional to 10,189.52, 14,061.03 and 5,997.50 is: 8,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.52 : 14,061.03 = 5,997.50 : x
  2. Step 2: Convert to fraction form
    10,189.52/14,061.03 = 5,997.50/x
  3. Step 3: Cross multiply
    10,189.52x = 14,061.03 × 5,997.50
  4. Step 4: Simplify right side
    10,189.52x = 84,331,027.43
  5. Step 5: Solve for x
    x = 84,331,027.43/10,189.52
  6. Step 6: Final answer
    x = 8,276.25

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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.