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Finding the Fourth Proportional to 8,947.70, 13,435.59 and 7,578.98

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Solution

The fourth proportional to 8,947.70, 13,435.59 and 7,578.98 is: 11,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.70 : 13,435.59 = 7,578.98 : x
  2. Step 2: Convert to fraction form
    8,947.70/13,435.59 = 7,578.98/x
  3. Step 3: Cross multiply
    8,947.70x = 13,435.59 × 7,578.98
  4. Step 4: Simplify right side
    8,947.70x = 101,828,067.90
  5. Step 5: Solve for x
    x = 101,828,067.90/8,947.70
  6. Step 6: Final answer
    x = 11,380.36

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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.