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Finding the Fourth Proportional to 7,235.78, 10,853.76 and 2,305.40

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Solution

The fourth proportional to 7,235.78, 10,853.76 and 2,305.40 is: 3,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.78 : 10,853.76 = 2,305.40 : x
  2. Step 2: Convert to fraction form
    7,235.78/10,853.76 = 2,305.40/x
  3. Step 3: Cross multiply
    7,235.78x = 10,853.76 × 2,305.40
  4. Step 4: Simplify right side
    7,235.78x = 25,022,258.30
  5. Step 5: Solve for x
    x = 25,022,258.30/7,235.78
  6. Step 6: Final answer
    x = 3,458.13

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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.