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Finding the Fourth Proportional to 13,003.96, 19,491.62 and 5,104.10

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Solution

The fourth proportional to 13,003.96, 19,491.62 and 5,104.10 is: 7,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.96 : 19,491.62 = 5,104.10 : x
  2. Step 2: Convert to fraction form
    13,003.96/19,491.62 = 5,104.10/x
  3. Step 3: Cross multiply
    13,003.96x = 19,491.62 × 5,104.10
  4. Step 4: Simplify right side
    13,003.96x = 99,487,177.64
  5. Step 5: Solve for x
    x = 99,487,177.64/13,003.96
  6. Step 6: Final answer
    x = 7,650.53

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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.