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Finding the Fourth Proportional to 7,873.36, 10,864.98 and 4,288.30

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Solution

The fourth proportional to 7,873.36, 10,864.98 and 4,288.30 is: 5,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.36 : 10,864.98 = 4,288.30 : x
  2. Step 2: Convert to fraction form
    7,873.36/10,864.98 = 4,288.30/x
  3. Step 3: Cross multiply
    7,873.36x = 10,864.98 × 4,288.30
  4. Step 4: Simplify right side
    7,873.36x = 46,592,293.73
  5. Step 5: Solve for x
    x = 46,592,293.73/7,873.36
  6. Step 6: Final answer
    x = 5,917.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.