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Finding the Fourth Proportional to 8,709.94, 13,063.35 and 2,552.50

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Solution

The fourth proportional to 8,709.94, 13,063.35 and 2,552.50 is: 3,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.94 : 13,063.35 = 2,552.50 : x
  2. Step 2: Convert to fraction form
    8,709.94/13,063.35 = 2,552.50/x
  3. Step 3: Cross multiply
    8,709.94x = 13,063.35 × 2,552.50
  4. Step 4: Simplify right side
    8,709.94x = 33,344,200.88
  5. Step 5: Solve for x
    x = 33,344,200.88/8,709.94
  6. Step 6: Final answer
    x = 3,828.29

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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.