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Finding the Fourth Proportional to 7,392.13, 10,194.48 and 4,739.02

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Solution

The fourth proportional to 7,392.13, 10,194.48 and 4,739.02 is: 6,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.13 : 10,194.48 = 4,739.02 : x
  2. Step 2: Convert to fraction form
    7,392.13/10,194.48 = 4,739.02/x
  3. Step 3: Cross multiply
    7,392.13x = 10,194.48 × 4,739.02
  4. Step 4: Simplify right side
    7,392.13x = 48,311,801.35
  5. Step 5: Solve for x
    x = 48,311,801.35/7,392.13
  6. Step 6: Final answer
    x = 6,535.57

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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.