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Finding the Fourth Proportional to 11,187.81, 16,783.64 and 4,610.40

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Solution

The fourth proportional to 11,187.81, 16,783.64 and 4,610.40 is: 6,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.81 : 16,783.64 = 4,610.40 : x
  2. Step 2: Convert to fraction form
    11,187.81/16,783.64 = 4,610.40/x
  3. Step 3: Cross multiply
    11,187.81x = 16,783.64 × 4,610.40
  4. Step 4: Simplify right side
    11,187.81x = 77,379,270.80
  5. Step 5: Solve for x
    x = 77,379,270.80/11,187.81
  6. Step 6: Final answer
    x = 6,916.39

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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.