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Finding the Fourth Proportional to 7,606.37, 11,402.90 and 3,655.66

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Solution

The fourth proportional to 7,606.37, 11,402.90 and 3,655.66 is: 5,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.37 : 11,402.90 = 3,655.66 : x
  2. Step 2: Convert to fraction form
    7,606.37/11,402.90 = 3,655.66/x
  3. Step 3: Cross multiply
    7,606.37x = 11,402.90 × 3,655.66
  4. Step 4: Simplify right side
    7,606.37x = 41,685,050.12
  5. Step 5: Solve for x
    x = 41,685,050.12/7,606.37
  6. Step 6: Final answer
    x = 5,480.28

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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.