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Finding the Fourth Proportional to 11,857.34, 16,366.40 and 7,378.42

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Solution

The fourth proportional to 11,857.34, 16,366.40 and 7,378.42 is: 10,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.34 : 16,366.40 = 7,378.42 : x
  2. Step 2: Convert to fraction form
    11,857.34/16,366.40 = 7,378.42/x
  3. Step 3: Cross multiply
    11,857.34x = 16,366.40 × 7,378.42
  4. Step 4: Simplify right side
    11,857.34x = 120,758,173.09
  5. Step 5: Solve for x
    x = 120,758,173.09/11,857.34
  6. Step 6: Final answer
    x = 10,184.25

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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.