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Finding the Fourth Proportional to 7,878.24, 11,806.20 and 4,369.77

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Solution

The fourth proportional to 7,878.24, 11,806.20 and 4,369.77 is: 6,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.24 : 11,806.20 = 4,369.77 : x
  2. Step 2: Convert to fraction form
    7,878.24/11,806.20 = 4,369.77/x
  3. Step 3: Cross multiply
    7,878.24x = 11,806.20 × 4,369.77
  4. Step 4: Simplify right side
    7,878.24x = 51,590,378.57
  5. Step 5: Solve for x
    x = 51,590,378.57/7,878.24
  6. Step 6: Final answer
    x = 6,548.46

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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.