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Finding the Fourth Proportional to 7,247.70, 10,002.78 and 4,104

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Solution

The fourth proportional to 7,247.70, 10,002.78 and 4,104 is: 5,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.70 : 10,002.78 = 4,104 : x
  2. Step 2: Convert to fraction form
    7,247.70/10,002.78 = 4,104/x
  3. Step 3: Cross multiply
    7,247.70x = 10,002.78 × 4,104
  4. Step 4: Simplify right side
    7,247.70x = 41,051,409.12
  5. Step 5: Solve for x
    x = 41,051,409.12/7,247.70
  6. Step 6: Final answer
    x = 5,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.