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Finding the Fourth Proportional to 7,188.38, 10,783.57 and 2,507.70

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Solution

The fourth proportional to 7,188.38, 10,783.57 and 2,507.70 is: 3,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.38 : 10,783.57 = 2,507.70 : x
  2. Step 2: Convert to fraction form
    7,188.38/10,783.57 = 2,507.70/x
  3. Step 3: Cross multiply
    7,188.38x = 10,783.57 × 2,507.70
  4. Step 4: Simplify right side
    7,188.38x = 27,041,958.49
  5. Step 5: Solve for x
    x = 27,041,958.49/7,188.38
  6. Step 6: Final answer
    x = 3,761.90

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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.