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Finding the Fourth Proportional to 8,268.03, 11,406.11 and 5,756.31

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Solution

The fourth proportional to 8,268.03, 11,406.11 and 5,756.31 is: 7,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.03 : 11,406.11 = 5,756.31 : x
  2. Step 2: Convert to fraction form
    8,268.03/11,406.11 = 5,756.31/x
  3. Step 3: Cross multiply
    8,268.03x = 11,406.11 × 5,756.31
  4. Step 4: Simplify right side
    8,268.03x = 65,657,076.27
  5. Step 5: Solve for x
    x = 65,657,076.27/8,268.03
  6. Step 6: Final answer
    x = 7,941.08

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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.