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Finding the Fourth Proportional to 11,908.30, 16,424.88 and 7,870.44

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Solution

The fourth proportional to 11,908.30, 16,424.88 and 7,870.44 is: 10,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.30 : 16,424.88 = 7,870.44 : x
  2. Step 2: Convert to fraction form
    11,908.30/16,424.88 = 7,870.44/x
  3. Step 3: Cross multiply
    11,908.30x = 16,424.88 × 7,870.44
  4. Step 4: Simplify right side
    11,908.30x = 129,271,032.55
  5. Step 5: Solve for x
    x = 129,271,032.55/11,908.30
  6. Step 6: Final answer
    x = 10,855.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.