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Finding the Fourth Proportional to 7,737.44, 11,596.62 and 3,052.74

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Solution

The fourth proportional to 7,737.44, 11,596.62 and 3,052.74 is: 4,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.44 : 11,596.62 = 3,052.74 : x
  2. Step 2: Convert to fraction form
    7,737.44/11,596.62 = 3,052.74/x
  3. Step 3: Cross multiply
    7,737.44x = 11,596.62 × 3,052.74
  4. Step 4: Simplify right side
    7,737.44x = 35,401,465.74
  5. Step 5: Solve for x
    x = 35,401,465.74/7,737.44
  6. Step 6: Final answer
    x = 4,575.35

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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.