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Finding the Fourth Proportional to 8,500.56, 11,733 and 4,775.76

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Solution

The fourth proportional to 8,500.56, 11,733 and 4,775.76 is: 6,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.56 : 11,733 = 4,775.76 : x
  2. Step 2: Convert to fraction form
    8,500.56/11,733 = 4,775.76/x
  3. Step 3: Cross multiply
    8,500.56x = 11,733 × 4,775.76
  4. Step 4: Simplify right side
    8,500.56x = 56,033,992.08
  5. Step 5: Solve for x
    x = 56,033,992.08/8,500.56
  6. Step 6: Final answer
    x = 6,591.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.