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Finding the Fourth Proportional to 7,226.56, 10,838.40 and 2,032.32

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Solution

The fourth proportional to 7,226.56, 10,838.40 and 2,032.32 is: 3,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.56 : 10,838.40 = 2,032.32 : x
  2. Step 2: Convert to fraction form
    7,226.56/10,838.40 = 2,032.32/x
  3. Step 3: Cross multiply
    7,226.56x = 10,838.40 × 2,032.32
  4. Step 4: Simplify right side
    7,226.56x = 22,027,097.09
  5. Step 5: Solve for x
    x = 22,027,097.09/7,226.56
  6. Step 6: Final answer
    x = 3,048.08

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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.