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Finding the Fourth Proportional to 7,433.10, 11,151 and 3,737.16

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Solution

The fourth proportional to 7,433.10, 11,151 and 3,737.16 is: 5,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.10 : 11,151 = 3,737.16 : x
  2. Step 2: Convert to fraction form
    7,433.10/11,151 = 3,737.16/x
  3. Step 3: Cross multiply
    7,433.10x = 11,151 × 3,737.16
  4. Step 4: Simplify right side
    7,433.10x = 41,673,071.16
  5. Step 5: Solve for x
    x = 41,673,071.16/7,433.10
  6. Step 6: Final answer
    x = 5,606.42

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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.