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Finding the Fourth Proportional to 7,727.66, 11,591.49 and 3,566.45

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Solution

The fourth proportional to 7,727.66, 11,591.49 and 3,566.45 is: 5,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.66 : 11,591.49 = 3,566.45 : x
  2. Step 2: Convert to fraction form
    7,727.66/11,591.49 = 3,566.45/x
  3. Step 3: Cross multiply
    7,727.66x = 11,591.49 × 3,566.45
  4. Step 4: Simplify right side
    7,727.66x = 41,340,411.55
  5. Step 5: Solve for x
    x = 41,340,411.55/7,727.66
  6. Step 6: Final answer
    x = 5,349.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.