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Finding the Fourth Proportional to 13,052.76, 19,579.86 and 5,260.68

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Solution

The fourth proportional to 13,052.76, 19,579.86 and 5,260.68 is: 7,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.76 : 19,579.86 = 5,260.68 : x
  2. Step 2: Convert to fraction form
    13,052.76/19,579.86 = 5,260.68/x
  3. Step 3: Cross multiply
    13,052.76x = 19,579.86 × 5,260.68
  4. Step 4: Simplify right side
    13,052.76x = 103,003,377.90
  5. Step 5: Solve for x
    x = 103,003,377.90/13,052.76
  6. Step 6: Final answer
    x = 7,891.31

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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.