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Finding the Fourth Proportional to 11,849.42, 16,352.16 and 7,133.96

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Solution

The fourth proportional to 11,849.42, 16,352.16 and 7,133.96 is: 9,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.42 : 16,352.16 = 7,133.96 : x
  2. Step 2: Convert to fraction form
    11,849.42/16,352.16 = 7,133.96/x
  3. Step 3: Cross multiply
    11,849.42x = 16,352.16 × 7,133.96
  4. Step 4: Simplify right side
    11,849.42x = 116,655,655.35
  5. Step 5: Solve for x
    x = 116,655,655.35/11,849.42
  6. Step 6: Final answer
    x = 9,844.84

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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.