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Finding the Fourth Proportional to 8,035.10, 11,083.53 and 5,309.63

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Solution

The fourth proportional to 8,035.10, 11,083.53 and 5,309.63 is: 7,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.10 : 11,083.53 = 5,309.63 : x
  2. Step 2: Convert to fraction form
    8,035.10/11,083.53 = 5,309.63/x
  3. Step 3: Cross multiply
    8,035.10x = 11,083.53 × 5,309.63
  4. Step 4: Simplify right side
    8,035.10x = 58,849,418.28
  5. Step 5: Solve for x
    x = 58,849,418.28/8,035.10
  6. Step 6: Final answer
    x = 7,324.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.