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Finding the Fourth Proportional to 7,160.72, 10,744.25 and 2,778.50

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Solution

The fourth proportional to 7,160.72, 10,744.25 and 2,778.50 is: 4,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.72 : 10,744.25 = 2,778.50 : x
  2. Step 2: Convert to fraction form
    7,160.72/10,744.25 = 2,778.50/x
  3. Step 3: Cross multiply
    7,160.72x = 10,744.25 × 2,778.50
  4. Step 4: Simplify right side
    7,160.72x = 29,852,911.59
  5. Step 5: Solve for x
    x = 29,852,911.59/7,160.72
  6. Step 6: Final answer
    x = 4,168.98

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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.