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Finding the Fourth Proportional to 10,846.51, 16,268.32 and 3,055.93

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Solution

The fourth proportional to 10,846.51, 16,268.32 and 3,055.93 is: 4,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.51 : 16,268.32 = 3,055.93 : x
  2. Step 2: Convert to fraction form
    10,846.51/16,268.32 = 3,055.93/x
  3. Step 3: Cross multiply
    10,846.51x = 16,268.32 × 3,055.93
  4. Step 4: Simplify right side
    10,846.51x = 49,714,847.14
  5. Step 5: Solve for x
    x = 49,714,847.14/10,846.51
  6. Step 6: Final answer
    x = 4,583.49

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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.