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Finding the Fourth Proportional to 6,783.76, 10,174.59 and 2,625.70

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Solution

The fourth proportional to 6,783.76, 10,174.59 and 2,625.70 is: 3,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.76 : 10,174.59 = 2,625.70 : x
  2. Step 2: Convert to fraction form
    6,783.76/10,174.59 = 2,625.70/x
  3. Step 3: Cross multiply
    6,783.76x = 10,174.59 × 2,625.70
  4. Step 4: Simplify right side
    6,783.76x = 26,715,420.96
  5. Step 5: Solve for x
    x = 26,715,420.96/6,783.76
  6. Step 6: Final answer
    x = 3,938.14

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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.