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Finding the Fourth Proportional to 10,214.99, 15,317.44 and 5,999.30

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Solution

The fourth proportional to 10,214.99, 15,317.44 and 5,999.30 is: 8,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.99 : 15,317.44 = 5,999.30 : x
  2. Step 2: Convert to fraction form
    10,214.99/15,317.44 = 5,999.30/x
  3. Step 3: Cross multiply
    10,214.99x = 15,317.44 × 5,999.30
  4. Step 4: Simplify right side
    10,214.99x = 91,893,917.79
  5. Step 5: Solve for x
    x = 91,893,917.79/10,214.99
  6. Step 6: Final answer
    x = 8,995.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.