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Finding the Fourth Proportional to 7,408.64, 11,111.13 and 2,214.51

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Solution

The fourth proportional to 7,408.64, 11,111.13 and 2,214.51 is: 3,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.64 : 11,111.13 = 2,214.51 : x
  2. Step 2: Convert to fraction form
    7,408.64/11,111.13 = 2,214.51/x
  3. Step 3: Cross multiply
    7,408.64x = 11,111.13 × 2,214.51
  4. Step 4: Simplify right side
    7,408.64x = 24,605,708.50
  5. Step 5: Solve for x
    x = 24,605,708.50/7,408.64
  6. Step 6: Final answer
    x = 3,321.22

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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.