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Finding the Fourth Proportional to 7,255.97, 10,898.52 and 6,341.07

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Solution

The fourth proportional to 7,255.97, 10,898.52 and 6,341.07 is: 9,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.97 : 10,898.52 = 6,341.07 : x
  2. Step 2: Convert to fraction form
    7,255.97/10,898.52 = 6,341.07/x
  3. Step 3: Cross multiply
    7,255.97x = 10,898.52 × 6,341.07
  4. Step 4: Simplify right side
    7,255.97x = 69,108,278.22
  5. Step 5: Solve for x
    x = 69,108,278.22/7,255.97
  6. Step 6: Final answer
    x = 9,524.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.