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Finding the Fourth Proportional to 7,160.84, 10,744.44 and 2,778.63

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Solution

The fourth proportional to 7,160.84, 10,744.44 and 2,778.63 is: 4,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.84 : 10,744.44 = 2,778.63 : x
  2. Step 2: Convert to fraction form
    7,160.84/10,744.44 = 2,778.63/x
  3. Step 3: Cross multiply
    7,160.84x = 10,744.44 × 2,778.63
  4. Step 4: Simplify right side
    7,160.84x = 29,854,809.42
  5. Step 5: Solve for x
    x = 29,854,809.42/7,160.84
  6. Step 6: Final answer
    x = 4,169.18

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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.