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Finding the Fourth Proportional to 7,877.45, 11,817.70 and 3,494.95

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Solution

The fourth proportional to 7,877.45, 11,817.70 and 3,494.95 is: 5,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.45 : 11,817.70 = 3,494.95 : x
  2. Step 2: Convert to fraction form
    7,877.45/11,817.70 = 3,494.95/x
  3. Step 3: Cross multiply
    7,877.45x = 11,817.70 × 3,494.95
  4. Step 4: Simplify right side
    7,877.45x = 41,302,232.33
  5. Step 5: Solve for x
    x = 41,302,232.33/7,877.45
  6. Step 6: Final answer
    x = 5,243.10

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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.