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Finding the Fourth Proportional to 7,657.59, 11,483.94 and 2,462.25

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Solution

The fourth proportional to 7,657.59, 11,483.94 and 2,462.25 is: 3,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.59 : 11,483.94 = 2,462.25 : x
  2. Step 2: Convert to fraction form
    7,657.59/11,483.94 = 2,462.25/x
  3. Step 3: Cross multiply
    7,657.59x = 11,483.94 × 2,462.25
  4. Step 4: Simplify right side
    7,657.59x = 28,276,331.27
  5. Step 5: Solve for x
    x = 28,276,331.27/7,657.59
  6. Step 6: Final answer
    x = 3,692.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.