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Finding the Fourth Proportional to 7,773.48, 11,657.97 and 3,389.88

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Solution

The fourth proportional to 7,773.48, 11,657.97 and 3,389.88 is: 5,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.48 : 11,657.97 = 3,389.88 : x
  2. Step 2: Convert to fraction form
    7,773.48/11,657.97 = 3,389.88/x
  3. Step 3: Cross multiply
    7,773.48x = 11,657.97 × 3,389.88
  4. Step 4: Simplify right side
    7,773.48x = 39,519,119.34
  5. Step 5: Solve for x
    x = 39,519,119.34/7,773.48
  6. Step 6: Final answer
    x = 5,083.84

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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.