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Finding the Fourth Proportional to 10,015.68, 13,826.46 and 6,664.08

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Solution

The fourth proportional to 10,015.68, 13,826.46 and 6,664.08 is: 9,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.68 : 13,826.46 = 6,664.08 : x
  2. Step 2: Convert to fraction form
    10,015.68/13,826.46 = 6,664.08/x
  3. Step 3: Cross multiply
    10,015.68x = 13,826.46 × 6,664.08
  4. Step 4: Simplify right side
    10,015.68x = 92,140,635.56
  5. Step 5: Solve for x
    x = 92,140,635.56/10,015.68
  6. Step 6: Final answer
    x = 9,199.64

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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.