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Finding the Fourth Proportional to 7,903.25, 11,845.76 and 3,744.30

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Solution

The fourth proportional to 7,903.25, 11,845.76 and 3,744.30 is: 5,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.25 : 11,845.76 = 3,744.30 : x
  2. Step 2: Convert to fraction form
    7,903.25/11,845.76 = 3,744.30/x
  3. Step 3: Cross multiply
    7,903.25x = 11,845.76 × 3,744.30
  4. Step 4: Simplify right side
    7,903.25x = 44,354,060.45
  5. Step 5: Solve for x
    x = 44,354,060.45/7,903.25
  6. Step 6: Final answer
    x = 5,612.13

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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.