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Finding the Fourth Proportional to 11,119.66, 16,684.14 and 4,876.45

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Solution

The fourth proportional to 11,119.66, 16,684.14 and 4,876.45 is: 7,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.66 : 16,684.14 = 4,876.45 : x
  2. Step 2: Convert to fraction form
    11,119.66/16,684.14 = 4,876.45/x
  3. Step 3: Cross multiply
    11,119.66x = 16,684.14 × 4,876.45
  4. Step 4: Simplify right side
    11,119.66x = 81,359,374.50
  5. Step 5: Solve for x
    x = 81,359,374.50/11,119.66
  6. Step 6: Final answer
    x = 7,316.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.