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Finding the Fourth Proportional to 10,054.59, 13,873.21 and 6,074.92

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Solution

The fourth proportional to 10,054.59, 13,873.21 and 6,074.92 is: 8,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.59 : 13,873.21 = 6,074.92 : x
  2. Step 2: Convert to fraction form
    10,054.59/13,873.21 = 6,074.92/x
  3. Step 3: Cross multiply
    10,054.59x = 13,873.21 × 6,074.92
  4. Step 4: Simplify right side
    10,054.59x = 84,278,640.89
  5. Step 5: Solve for x
    x = 84,278,640.89/10,054.59
  6. Step 6: Final answer
    x = 8,382.11

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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.