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Finding the Fourth Proportional to 8,661.33, 11,941.02 and 5,676.08

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Solution

The fourth proportional to 8,661.33, 11,941.02 and 5,676.08 is: 7,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.33 : 11,941.02 = 5,676.08 : x
  2. Step 2: Convert to fraction form
    8,661.33/11,941.02 = 5,676.08/x
  3. Step 3: Cross multiply
    8,661.33x = 11,941.02 × 5,676.08
  4. Step 4: Simplify right side
    8,661.33x = 67,778,125.10
  5. Step 5: Solve for x
    x = 67,778,125.10/8,661.33
  6. Step 6: Final answer
    x = 7,825.37

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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.