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Finding the Fourth Proportional to 8,259.76, 11,399.36 and 5,741.20

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Solution

The fourth proportional to 8,259.76, 11,399.36 and 5,741.20 is: 7,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.76 : 11,399.36 = 5,741.20 : x
  2. Step 2: Convert to fraction form
    8,259.76/11,399.36 = 5,741.20/x
  3. Step 3: Cross multiply
    8,259.76x = 11,399.36 × 5,741.20
  4. Step 4: Simplify right side
    8,259.76x = 65,446,005.63
  5. Step 5: Solve for x
    x = 65,446,005.63/8,259.76
  6. Step 6: Final answer
    x = 7,923.48

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1.5x scale

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.