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Finding the Fourth Proportional to 8,977.50, 13,468.41 and 2,821.50

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Solution

The fourth proportional to 8,977.50, 13,468.41 and 2,821.50 is: 4,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 13,468.41 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    8,977.50/13,468.41 = 2,821.50/x
  3. Step 3: Cross multiply
    8,977.50x = 13,468.41 × 2,821.50
  4. Step 4: Simplify right side
    8,977.50x = 38,001,118.82
  5. Step 5: Solve for x
    x = 38,001,118.82/8,977.50
  6. Step 6: Final answer
    x = 4,232.93

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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.