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Finding the Fourth Proportional to 7,737.99, 11,630.37 and 5,114.49

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Solution

The fourth proportional to 7,737.99, 11,630.37 and 5,114.49 is: 7,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.99 : 11,630.37 = 5,114.49 : x
  2. Step 2: Convert to fraction form
    7,737.99/11,630.37 = 5,114.49/x
  3. Step 3: Cross multiply
    7,737.99x = 11,630.37 × 5,114.49
  4. Step 4: Simplify right side
    7,737.99x = 59,483,411.06
  5. Step 5: Solve for x
    x = 59,483,411.06/7,737.99
  6. Step 6: Final answer
    x = 7,687.19

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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.