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Finding the Fourth Proportional to 7,737.09, 11,617.47 and 6,820.37

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Solution

The fourth proportional to 7,737.09, 11,617.47 and 6,820.37 is: 10,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.09 : 11,617.47 = 6,820.37 : x
  2. Step 2: Convert to fraction form
    7,737.09/11,617.47 = 6,820.37/x
  3. Step 3: Cross multiply
    7,737.09x = 11,617.47 × 6,820.37
  4. Step 4: Simplify right side
    7,737.09x = 79,235,385.78
  5. Step 5: Solve for x
    x = 79,235,385.78/7,737.09
  6. Step 6: Final answer
    x = 10,240.98

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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.