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Finding the Fourth Proportional to 7,698.60, 11,549.11 and 2,503.26

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Solution

The fourth proportional to 7,698.60, 11,549.11 and 2,503.26 is: 3,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.60 : 11,549.11 = 2,503.26 : x
  2. Step 2: Convert to fraction form
    7,698.60/11,549.11 = 2,503.26/x
  3. Step 3: Cross multiply
    7,698.60x = 11,549.11 × 2,503.26
  4. Step 4: Simplify right side
    7,698.60x = 28,910,425.10
  5. Step 5: Solve for x
    x = 28,910,425.10/7,698.60
  6. Step 6: Final answer
    x = 3,755.28

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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.