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Finding the Fourth Proportional to 11,897.94, 17,849.52 and 4,878

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Solution

The fourth proportional to 11,897.94, 17,849.52 and 4,878 is: 7,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.94 : 17,849.52 = 4,878 : x
  2. Step 2: Convert to fraction form
    11,897.94/17,849.52 = 4,878/x
  3. Step 3: Cross multiply
    11,897.94x = 17,849.52 × 4,878
  4. Step 4: Simplify right side
    11,897.94x = 87,069,958.56
  5. Step 5: Solve for x
    x = 87,069,958.56/11,897.94
  6. Step 6: Final answer
    x = 7,318.07

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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.