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Finding the Fourth Proportional to 7,692.50, 11,539.02 and 4,404.08

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Solution

The fourth proportional to 7,692.50, 11,539.02 and 4,404.08 is: 6,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.50 : 11,539.02 = 4,404.08 : x
  2. Step 2: Convert to fraction form
    7,692.50/11,539.02 = 4,404.08/x
  3. Step 3: Cross multiply
    7,692.50x = 11,539.02 × 4,404.08
  4. Step 4: Simplify right side
    7,692.50x = 50,818,767.20
  5. Step 5: Solve for x
    x = 50,818,767.20/7,692.50
  6. Step 6: Final answer
    x = 6,606.27

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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.