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Finding the Fourth Proportional to 7,737.03, 11,600.37 and 3,574.76

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Solution

The fourth proportional to 7,737.03, 11,600.37 and 3,574.76 is: 5,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.03 : 11,600.37 = 3,574.76 : x
  2. Step 2: Convert to fraction form
    7,737.03/11,600.37 = 3,574.76/x
  3. Step 3: Cross multiply
    7,737.03x = 11,600.37 × 3,574.76
  4. Step 4: Simplify right side
    7,737.03x = 41,468,480.66
  5. Step 5: Solve for x
    x = 41,468,480.66/7,737.03
  6. Step 6: Final answer
    x = 5,359.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.