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Finding the Fourth Proportional to 7,334.10, 11,002.11 and 2,402.01

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Solution

The fourth proportional to 7,334.10, 11,002.11 and 2,402.01 is: 3,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.10 : 11,002.11 = 2,402.01 : x
  2. Step 2: Convert to fraction form
    7,334.10/11,002.11 = 2,402.01/x
  3. Step 3: Cross multiply
    7,334.10x = 11,002.11 × 2,402.01
  4. Step 4: Simplify right side
    7,334.10x = 26,427,178.24
  5. Step 5: Solve for x
    x = 26,427,178.24/7,334.10
  6. Step 6: Final answer
    x = 3,603.33

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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.