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Finding the Fourth Proportional to 7,302.80, 10,954.20 and 5,188.70

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Solution

The fourth proportional to 7,302.80, 10,954.20 and 5,188.70 is: 7,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.80 : 10,954.20 = 5,188.70 : x
  2. Step 2: Convert to fraction form
    7,302.80/10,954.20 = 5,188.70/x
  3. Step 3: Cross multiply
    7,302.80x = 10,954.20 × 5,188.70
  4. Step 4: Simplify right side
    7,302.80x = 56,838,057.54
  5. Step 5: Solve for x
    x = 56,838,057.54/7,302.80
  6. Step 6: Final answer
    x = 7,783.05

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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.