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Finding the Fourth Proportional to 7,692.06, 11,539.26 and 2,497.50

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Solution

The fourth proportional to 7,692.06, 11,539.26 and 2,497.50 is: 3,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.06 : 11,539.26 = 2,497.50 : x
  2. Step 2: Convert to fraction form
    7,692.06/11,539.26 = 2,497.50/x
  3. Step 3: Cross multiply
    7,692.06x = 11,539.26 × 2,497.50
  4. Step 4: Simplify right side
    7,692.06x = 28,819,301.85
  5. Step 5: Solve for x
    x = 28,819,301.85/7,692.06
  6. Step 6: Final answer
    x = 3,746.63

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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.