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Finding the Fourth Proportional to 7,605.16, 11,399.95 and 3,650.64

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Solution

The fourth proportional to 7,605.16, 11,399.95 and 3,650.64 is: 5,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.16 : 11,399.95 = 3,650.64 : x
  2. Step 2: Convert to fraction form
    7,605.16/11,399.95 = 3,650.64/x
  3. Step 3: Cross multiply
    7,605.16x = 11,399.95 × 3,650.64
  4. Step 4: Simplify right side
    7,605.16x = 41,617,113.47
  5. Step 5: Solve for x
    x = 41,617,113.47/7,605.16
  6. Step 6: Final answer
    x = 5,472.22

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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.