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Finding the Fourth Proportional to 7,235.87, 10,853.60 and 2,305.80

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Solution

The fourth proportional to 7,235.87, 10,853.60 and 2,305.80 is: 3,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.87 : 10,853.60 = 2,305.80 : x
  2. Step 2: Convert to fraction form
    7,235.87/10,853.60 = 2,305.80/x
  3. Step 3: Cross multiply
    7,235.87x = 10,853.60 × 2,305.80
  4. Step 4: Simplify right side
    7,235.87x = 25,026,219.35
  5. Step 5: Solve for x
    x = 25,026,219.35/7,235.87
  6. Step 6: Final answer
    x = 3,458.64

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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.