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Finding the Fourth Proportional to 10,055.44, 15,083.04 and 4,857.68

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Solution

The fourth proportional to 10,055.44, 15,083.04 and 4,857.68 is: 7,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.44 : 15,083.04 = 4,857.68 : x
  2. Step 2: Convert to fraction form
    10,055.44/15,083.04 = 4,857.68/x
  3. Step 3: Cross multiply
    10,055.44x = 15,083.04 × 4,857.68
  4. Step 4: Simplify right side
    10,055.44x = 73,268,581.75
  5. Step 5: Solve for x
    x = 73,268,581.75/10,055.44
  6. Step 6: Final answer
    x = 7,286.46

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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.