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Finding the Fourth Proportional to 7,606.04, 11,401.16 and 3,900.02

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Solution

The fourth proportional to 7,606.04, 11,401.16 and 3,900.02 is: 5,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.04 : 11,401.16 = 3,900.02 : x
  2. Step 2: Convert to fraction form
    7,606.04/11,401.16 = 3,900.02/x
  3. Step 3: Cross multiply
    7,606.04x = 11,401.16 × 3,900.02
  4. Step 4: Simplify right side
    7,606.04x = 44,464,675.52
  5. Step 5: Solve for x
    x = 44,464,675.52/7,606.04
  6. Step 6: Final answer
    x = 5,845.97

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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.