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Finding the Fourth Proportional to 7,737.64, 10,678.98 and 4,906.42

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Solution

The fourth proportional to 7,737.64, 10,678.98 and 4,906.42 is: 6,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.64 : 10,678.98 = 4,906.42 : x
  2. Step 2: Convert to fraction form
    7,737.64/10,678.98 = 4,906.42/x
  3. Step 3: Cross multiply
    7,737.64x = 10,678.98 × 4,906.42
  4. Step 4: Simplify right side
    7,737.64x = 52,395,561.05
  5. Step 5: Solve for x
    x = 52,395,561.05/7,737.64
  6. Step 6: Final answer
    x = 6,771.52

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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.