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Finding the Fourth Proportional to 7,897.68, 11,846.52 and 2,054.14

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Solution

The fourth proportional to 7,897.68, 11,846.52 and 2,054.14 is: 3,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.68 : 11,846.52 = 2,054.14 : x
  2. Step 2: Convert to fraction form
    7,897.68/11,846.52 = 2,054.14/x
  3. Step 3: Cross multiply
    7,897.68x = 11,846.52 × 2,054.14
  4. Step 4: Simplify right side
    7,897.68x = 24,334,410.59
  5. Step 5: Solve for x
    x = 24,334,410.59/7,897.68
  6. Step 6: Final answer
    x = 3,081.21

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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.