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Finding the Fourth Proportional to 10,783.83, 16,180.01 and 7,085.37

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Solution

The fourth proportional to 10,783.83, 16,180.01 and 7,085.37 is: 10,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.83 : 16,180.01 = 7,085.37 : x
  2. Step 2: Convert to fraction form
    10,783.83/16,180.01 = 7,085.37/x
  3. Step 3: Cross multiply
    10,783.83x = 16,180.01 × 7,085.37
  4. Step 4: Simplify right side
    10,783.83x = 114,641,409.27
  5. Step 5: Solve for x
    x = 114,641,409.27/10,783.83
  6. Step 6: Final answer
    x = 10,630.86

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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.