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Finding the Fourth Proportional to 8,333.46, 11,500.30 and 5,645.50

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Solution

The fourth proportional to 8,333.46, 11,500.30 and 5,645.50 is: 7,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.46 : 11,500.30 = 5,645.50 : x
  2. Step 2: Convert to fraction form
    8,333.46/11,500.30 = 5,645.50/x
  3. Step 3: Cross multiply
    8,333.46x = 11,500.30 × 5,645.50
  4. Step 4: Simplify right side
    8,333.46x = 64,924,943.65
  5. Step 5: Solve for x
    x = 64,924,943.65/8,333.46
  6. Step 6: Final answer
    x = 7,790.87

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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.