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Finding the Fourth Proportional to 10,449.36, 15,664.04 and 3,873.76

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Solution

The fourth proportional to 10,449.36, 15,664.04 and 3,873.76 is: 5,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.36 : 15,664.04 = 3,873.76 : x
  2. Step 2: Convert to fraction form
    10,449.36/15,664.04 = 3,873.76/x
  3. Step 3: Cross multiply
    10,449.36x = 15,664.04 × 3,873.76
  4. Step 4: Simplify right side
    10,449.36x = 60,678,731.59
  5. Step 5: Solve for x
    x = 60,678,731.59/10,449.36
  6. Step 6: Final answer
    x = 5,806.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.