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Finding the Fourth Proportional to 10,062.99, 13,887.56 and 5,814.22

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Solution

The fourth proportional to 10,062.99, 13,887.56 and 5,814.22 is: 8,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.99 : 13,887.56 = 5,814.22 : x
  2. Step 2: Convert to fraction form
    10,062.99/13,887.56 = 5,814.22/x
  3. Step 3: Cross multiply
    10,062.99x = 13,887.56 × 5,814.22
  4. Step 4: Simplify right side
    10,062.99x = 80,745,329.10
  5. Step 5: Solve for x
    x = 80,745,329.10/10,062.99
  6. Step 6: Final answer
    x = 8,023.99

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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.