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Finding the Fourth Proportional to 7,827.89, 11,737.58 and 3,606.57

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Solution

The fourth proportional to 7,827.89, 11,737.58 and 3,606.57 is: 5,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.89 : 11,737.58 = 3,606.57 : x
  2. Step 2: Convert to fraction form
    7,827.89/11,737.58 = 3,606.57/x
  3. Step 3: Cross multiply
    7,827.89x = 11,737.58 × 3,606.57
  4. Step 4: Simplify right side
    7,827.89x = 42,332,385.87
  5. Step 5: Solve for x
    x = 42,332,385.87/7,827.89
  6. Step 6: Final answer
    x = 5,407.90

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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.