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Finding the Fourth Proportional to 7,657.36, 11,486.84 and 2,110.70

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Solution

The fourth proportional to 7,657.36, 11,486.84 and 2,110.70 is: 3,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.36 : 11,486.84 = 2,110.70 : x
  2. Step 2: Convert to fraction form
    7,657.36/11,486.84 = 2,110.70/x
  3. Step 3: Cross multiply
    7,657.36x = 11,486.84 × 2,110.70
  4. Step 4: Simplify right side
    7,657.36x = 24,245,291.35
  5. Step 5: Solve for x
    x = 24,245,291.35/7,657.36
  6. Step 6: Final answer
    x = 3,166.27

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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.