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Finding the Fourth Proportional to 7,337.94, 11,007.27 and 2,405.58

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Solution

The fourth proportional to 7,337.94, 11,007.27 and 2,405.58 is: 3,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.94 : 11,007.27 = 2,405.58 : x
  2. Step 2: Convert to fraction form
    7,337.94/11,007.27 = 2,405.58/x
  3. Step 3: Cross multiply
    7,337.94x = 11,007.27 × 2,405.58
  4. Step 4: Simplify right side
    7,337.94x = 26,478,868.57
  5. Step 5: Solve for x
    x = 26,478,868.57/7,337.94
  6. Step 6: Final answer
    x = 3,608.49

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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.