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Finding the Fourth Proportional to 11,928.46, 16,462.02 and 6,893.60

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Solution

The fourth proportional to 11,928.46, 16,462.02 and 6,893.60 is: 9,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.46 : 16,462.02 = 6,893.60 : x
  2. Step 2: Convert to fraction form
    11,928.46/16,462.02 = 6,893.60/x
  3. Step 3: Cross multiply
    11,928.46x = 16,462.02 × 6,893.60
  4. Step 4: Simplify right side
    11,928.46x = 113,482,622.23
  5. Step 5: Solve for x
    x = 113,482,622.23/11,928.46
  6. Step 6: Final answer
    x = 9,513.60

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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.