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Finding the Fourth Proportional to 7,897.20, 11,846 and 2,054.08

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Solution

The fourth proportional to 7,897.20, 11,846 and 2,054.08 is: 3,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.20 : 11,846 = 2,054.08 : x
  2. Step 2: Convert to fraction form
    7,897.20/11,846 = 2,054.08/x
  3. Step 3: Cross multiply
    7,897.20x = 11,846 × 2,054.08
  4. Step 4: Simplify right side
    7,897.20x = 24,332,631.68
  5. Step 5: Solve for x
    x = 24,332,631.68/7,897.20
  6. Step 6: Final answer
    x = 3,081.17

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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.