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Finding the Fourth Proportional to 11,801.94, 16,276.05 and 9,819.06

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Solution

The fourth proportional to 11,801.94, 16,276.05 and 9,819.06 is: 13,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.94 : 16,276.05 = 9,819.06 : x
  2. Step 2: Convert to fraction form
    11,801.94/16,276.05 = 9,819.06/x
  3. Step 3: Cross multiply
    11,801.94x = 16,276.05 × 9,819.06
  4. Step 4: Simplify right side
    11,801.94x = 159,815,511.51
  5. Step 5: Solve for x
    x = 159,815,511.51/11,801.94
  6. Step 6: Final answer
    x = 13,541.46

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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.