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Finding the Fourth Proportional to 7,511.98, 10,354.11 and 5,645.74

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Solution

The fourth proportional to 7,511.98, 10,354.11 and 5,645.74 is: 7,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.98 : 10,354.11 = 5,645.74 : x
  2. Step 2: Convert to fraction form
    7,511.98/10,354.11 = 5,645.74/x
  3. Step 3: Cross multiply
    7,511.98x = 10,354.11 × 5,645.74
  4. Step 4: Simplify right side
    7,511.98x = 58,456,612.99
  5. Step 5: Solve for x
    x = 58,456,612.99/7,511.98
  6. Step 6: Final answer
    x = 7,781.78

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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.