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Finding the Fourth Proportional to 7,657.67, 11,484.60 and 2,110.74

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Solution

The fourth proportional to 7,657.67, 11,484.60 and 2,110.74 is: 3,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.67 : 11,484.60 = 2,110.74 : x
  2. Step 2: Convert to fraction form
    7,657.67/11,484.60 = 2,110.74/x
  3. Step 3: Cross multiply
    7,657.67x = 11,484.60 × 2,110.74
  4. Step 4: Simplify right side
    7,657.67x = 24,241,004.60
  5. Step 5: Solve for x
    x = 24,241,004.60/7,657.67
  6. Step 6: Final answer
    x = 3,165.59

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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.