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Finding the Fourth Proportional to 10,535.99, 14,540.24 and 5,820.17

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Solution

The fourth proportional to 10,535.99, 14,540.24 and 5,820.17 is: 8,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.99 : 14,540.24 = 5,820.17 : x
  2. Step 2: Convert to fraction form
    10,535.99/14,540.24 = 5,820.17/x
  3. Step 3: Cross multiply
    10,535.99x = 14,540.24 × 5,820.17
  4. Step 4: Simplify right side
    10,535.99x = 84,626,610.49
  5. Step 5: Solve for x
    x = 84,626,610.49/10,535.99
  6. Step 6: Final answer
    x = 8,032.15

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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.