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Finding the Fourth Proportional to 11,119.72, 16,684 and 4,876.40

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Solution

The fourth proportional to 11,119.72, 16,684 and 4,876.40 is: 7,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.72 : 16,684 = 4,876.40 : x
  2. Step 2: Convert to fraction form
    11,119.72/16,684 = 4,876.40/x
  3. Step 3: Cross multiply
    11,119.72x = 16,684 × 4,876.40
  4. Step 4: Simplify right side
    11,119.72x = 81,357,857.60
  5. Step 5: Solve for x
    x = 81,357,857.60/11,119.72
  6. Step 6: Final answer
    x = 7,316.54

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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.