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Finding the Fourth Proportional to 7,657.40, 11,483.67 and 2,462.06

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Solution

The fourth proportional to 7,657.40, 11,483.67 and 2,462.06 is: 3,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.40 : 11,483.67 = 2,462.06 : x
  2. Step 2: Convert to fraction form
    7,657.40/11,483.67 = 2,462.06/x
  3. Step 3: Cross multiply
    7,657.40x = 11,483.67 × 2,462.06
  4. Step 4: Simplify right side
    7,657.40x = 28,273,522.50
  5. Step 5: Solve for x
    x = 28,273,522.50/7,657.40
  6. Step 6: Final answer
    x = 3,692.31

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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.