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Finding the Fourth Proportional to 7,165.69, 10,744.35 and 2,166.58

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Solution

The fourth proportional to 7,165.69, 10,744.35 and 2,166.58 is: 3,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.69 : 10,744.35 = 2,166.58 : x
  2. Step 2: Convert to fraction form
    7,165.69/10,744.35 = 2,166.58/x
  3. Step 3: Cross multiply
    7,165.69x = 10,744.35 × 2,166.58
  4. Step 4: Simplify right side
    7,165.69x = 23,278,493.82
  5. Step 5: Solve for x
    x = 23,278,493.82/7,165.69
  6. Step 6: Final answer
    x = 3,248.60

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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.