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Finding the Fourth Proportional to 7,765.89, 11,650.02 and 2,572.98

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Solution

The fourth proportional to 7,765.89, 11,650.02 and 2,572.98 is: 3,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.89 : 11,650.02 = 2,572.98 : x
  2. Step 2: Convert to fraction form
    7,765.89/11,650.02 = 2,572.98/x
  3. Step 3: Cross multiply
    7,765.89x = 11,650.02 × 2,572.98
  4. Step 4: Simplify right side
    7,765.89x = 29,975,268.46
  5. Step 5: Solve for x
    x = 29,975,268.46/7,765.89
  6. Step 6: Final answer
    x = 3,859.86

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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.