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Finding the Fourth Proportional to 7,408.10, 10,224.07 and 4,264.90

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Solution

The fourth proportional to 7,408.10, 10,224.07 and 4,264.90 is: 5,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.10 : 10,224.07 = 4,264.90 : x
  2. Step 2: Convert to fraction form
    7,408.10/10,224.07 = 4,264.90/x
  3. Step 3: Cross multiply
    7,408.10x = 10,224.07 × 4,264.90
  4. Step 4: Simplify right side
    7,408.10x = 43,604,599.92
  5. Step 5: Solve for x
    x = 43,604,599.92/7,408.10
  6. Step 6: Final answer
    x = 5,886.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.