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Finding the Fourth Proportional to 11,768.40, 16,193.88 and 10,862.64

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Solution

The fourth proportional to 11,768.40, 16,193.88 and 10,862.64 is: 14,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.40 : 16,193.88 = 10,862.64 : x
  2. Step 2: Convert to fraction form
    11,768.40/16,193.88 = 10,862.64/x
  3. Step 3: Cross multiply
    11,768.40x = 16,193.88 × 10,862.64
  4. Step 4: Simplify right side
    11,768.40x = 175,908,288.64
  5. Step 5: Solve for x
    x = 175,908,288.64/11,768.40
  6. Step 6: Final answer
    x = 14,947.51

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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.