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Finding the Fourth Proportional to 7,384, 10,189.92 and 4,589.50

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Solution

The fourth proportional to 7,384, 10,189.92 and 4,589.50 is: 6,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384 : 10,189.92 = 4,589.50 : x
  2. Step 2: Convert to fraction form
    7,384/10,189.92 = 4,589.50/x
  3. Step 3: Cross multiply
    7,384x = 10,189.92 × 4,589.50
  4. Step 4: Simplify right side
    7,384x = 46,766,637.84
  5. Step 5: Solve for x
    x = 46,766,637.84/7,384
  6. Step 6: Final answer
    x = 6,333.51

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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.