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Finding the Fourth Proportional to 11,905.43, 16,412.09 and 9,068.00

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Solution

The fourth proportional to 11,905.43, 16,412.09 and 9,068.00 is: 12,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.43 : 16,412.09 = 9,068.00 : x
  2. Step 2: Convert to fraction form
    11,905.43/16,412.09 = 9,068.00/x
  3. Step 3: Cross multiply
    11,905.43x = 16,412.09 × 9,068.00
  4. Step 4: Simplify right side
    11,905.43x = 148,824,704.72
  5. Step 5: Solve for x
    x = 148,824,704.72/11,905.43
  6. Step 6: Final answer
    x = 12,500.58

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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.