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Finding the Fourth Proportional to 10,575.97, 14,594.43 and 6,100.52

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Solution

The fourth proportional to 10,575.97, 14,594.43 and 6,100.52 is: 8,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.97 : 14,594.43 = 6,100.52 : x
  2. Step 2: Convert to fraction form
    10,575.97/14,594.43 = 6,100.52/x
  3. Step 3: Cross multiply
    10,575.97x = 14,594.43 × 6,100.52
  4. Step 4: Simplify right side
    10,575.97x = 89,033,527.69
  5. Step 5: Solve for x
    x = 89,033,527.69/10,575.97
  6. Step 6: Final answer
    x = 8,418.48

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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.