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Finding the Fourth Proportional to 8,562.83, 11,771.38 and 7,363.40

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Solution

The fourth proportional to 8,562.83, 11,771.38 and 7,363.40 is: 10,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.83 : 11,771.38 = 7,363.40 : x
  2. Step 2: Convert to fraction form
    8,562.83/11,771.38 = 7,363.40/x
  3. Step 3: Cross multiply
    8,562.83x = 11,771.38 × 7,363.40
  4. Step 4: Simplify right side
    8,562.83x = 86,677,379.49
  5. Step 5: Solve for x
    x = 86,677,379.49/8,562.83
  6. Step 6: Final answer
    x = 10,122.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.