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Finding the Fourth Proportional to 8,152.95, 11,249.53 and 7,737.73

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Solution

The fourth proportional to 8,152.95, 11,249.53 and 7,737.73 is: 10,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.95 : 11,249.53 = 7,737.73 : x
  2. Step 2: Convert to fraction form
    8,152.95/11,249.53 = 7,737.73/x
  3. Step 3: Cross multiply
    8,152.95x = 11,249.53 × 7,737.73
  4. Step 4: Simplify right side
    8,152.95x = 87,045,821.82
  5. Step 5: Solve for x
    x = 87,045,821.82/8,152.95
  6. Step 6: Final answer
    x = 10,676.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.