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Finding the Fourth Proportional to 11,849.42, 16,352.88 and 7,135.22

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Solution

The fourth proportional to 11,849.42, 16,352.88 and 7,135.22 is: 9,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.42 : 16,352.88 = 7,135.22 : x
  2. Step 2: Convert to fraction form
    11,849.42/16,352.88 = 7,135.22/x
  3. Step 3: Cross multiply
    11,849.42x = 16,352.88 × 7,135.22
  4. Step 4: Simplify right side
    11,849.42x = 116,681,396.43
  5. Step 5: Solve for x
    x = 116,681,396.43/11,849.42
  6. Step 6: Final answer
    x = 9,847.01

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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.