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Finding the Fourth Proportional to 10,370.72, 14,305.38 and 7,534.28

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Solution

The fourth proportional to 10,370.72, 14,305.38 and 7,534.28 is: 10,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.72 : 14,305.38 = 7,534.28 : x
  2. Step 2: Convert to fraction form
    10,370.72/14,305.38 = 7,534.28/x
  3. Step 3: Cross multiply
    10,370.72x = 14,305.38 × 7,534.28
  4. Step 4: Simplify right side
    10,370.72x = 107,780,738.43
  5. Step 5: Solve for x
    x = 107,780,738.43/10,370.72
  6. Step 6: Final answer
    x = 10,392.79

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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.