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Finding the Fourth Proportional to 7,868.49, 11,804.74 and 2,938.17

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Solution

The fourth proportional to 7,868.49, 11,804.74 and 2,938.17 is: 4,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.49 : 11,804.74 = 2,938.17 : x
  2. Step 2: Convert to fraction form
    7,868.49/11,804.74 = 2,938.17/x
  3. Step 3: Cross multiply
    7,868.49x = 11,804.74 × 2,938.17
  4. Step 4: Simplify right side
    7,868.49x = 34,684,369.85
  5. Step 5: Solve for x
    x = 34,684,369.85/7,868.49
  6. Step 6: Final answer
    x = 4,408.01

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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.