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Finding the Fourth Proportional to 10,535.88, 14,539.38 and 5,820.44

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Solution

The fourth proportional to 10,535.88, 14,539.38 and 5,820.44 is: 8,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.88 : 14,539.38 = 5,820.44 : x
  2. Step 2: Convert to fraction form
    10,535.88/14,539.38 = 5,820.44/x
  3. Step 3: Cross multiply
    10,535.88x = 14,539.38 × 5,820.44
  4. Step 4: Simplify right side
    10,535.88x = 84,625,588.93
  5. Step 5: Solve for x
    x = 84,625,588.93/10,535.88
  6. Step 6: Final answer
    x = 8,032.13

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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.