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Finding the Fourth Proportional to 7,762.08, 11,586.77 and 7,183.86

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Solution

The fourth proportional to 7,762.08, 11,586.77 and 7,183.86 is: 10,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.08 : 11,586.77 = 7,183.86 : x
  2. Step 2: Convert to fraction form
    7,762.08/11,586.77 = 7,183.86/x
  3. Step 3: Cross multiply
    7,762.08x = 11,586.77 × 7,183.86
  4. Step 4: Simplify right side
    7,762.08x = 83,237,697.61
  5. Step 5: Solve for x
    x = 83,237,697.61/7,762.08
  6. Step 6: Final answer
    x = 10,723.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.