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Finding the Fourth Proportional to 10,054.20, 13,874.94 and 6,074.76

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Solution

The fourth proportional to 10,054.20, 13,874.94 and 6,074.76 is: 8,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.20 : 13,874.94 = 6,074.76 : x
  2. Step 2: Convert to fraction form
    10,054.20/13,874.94 = 6,074.76/x
  3. Step 3: Cross multiply
    10,054.20x = 13,874.94 × 6,074.76
  4. Step 4: Simplify right side
    10,054.20x = 84,286,930.51
  5. Step 5: Solve for x
    x = 84,286,930.51/10,054.20
  6. Step 6: Final answer
    x = 8,383.26

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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.