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Finding the Fourth Proportional to 7,363.96, 11,036.58 and 3,463

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Solution

The fourth proportional to 7,363.96, 11,036.58 and 3,463 is: 5,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.96 : 11,036.58 = 3,463 : x
  2. Step 2: Convert to fraction form
    7,363.96/11,036.58 = 3,463/x
  3. Step 3: Cross multiply
    7,363.96x = 11,036.58 × 3,463
  4. Step 4: Simplify right side
    7,363.96x = 38,219,676.54
  5. Step 5: Solve for x
    x = 38,219,676.54/7,363.96
  6. Step 6: Final answer
    x = 5,190.10

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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.