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Finding the Fourth Proportional to 8,278.11, 11,421.00 and 4,692.68

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Solution

The fourth proportional to 8,278.11, 11,421.00 and 4,692.68 is: 6,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.11 : 11,421.00 = 4,692.68 : x
  2. Step 2: Convert to fraction form
    8,278.11/11,421.00 = 4,692.68/x
  3. Step 3: Cross multiply
    8,278.11x = 11,421.00 × 4,692.68
  4. Step 4: Simplify right side
    8,278.11x = 53,595,124.34
  5. Step 5: Solve for x
    x = 53,595,124.34/8,278.11
  6. Step 6: Final answer
    x = 6,474.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.