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Finding the Fourth Proportional to 11,900.98, 16,426.98 and 6,868.50

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Solution

The fourth proportional to 11,900.98, 16,426.98 and 6,868.50 is: 9,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.98 : 16,426.98 = 6,868.50 : x
  2. Step 2: Convert to fraction form
    11,900.98/16,426.98 = 6,868.50/x
  3. Step 3: Cross multiply
    11,900.98x = 16,426.98 × 6,868.50
  4. Step 4: Simplify right side
    11,900.98x = 112,828,650.53
  5. Step 5: Solve for x
    x = 112,828,650.53/11,900.98
  6. Step 6: Final answer
    x = 9,480.62

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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.