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Finding the Fourth Proportional to 28,871.92, 43,309.44 and 8,097.04

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Solution

The fourth proportional to 28,871.92, 43,309.44 and 8,097.04 is: 12,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871.92 : 43,309.44 = 8,097.04 : x
  2. Step 2: Convert to fraction form
    28,871.92/43,309.44 = 8,097.04/x
  3. Step 3: Cross multiply
    28,871.92x = 43,309.44 × 8,097.04
  4. Step 4: Simplify right side
    28,871.92x = 350,678,268.06
  5. Step 5: Solve for x
    x = 350,678,268.06/28,871.92
  6. Step 6: Final answer
    x = 12,146.00

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Why These Related Problems?

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