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Finding the Fourth Proportional to 11,800.05, 16,283.34 and 7,086.93

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Solution

The fourth proportional to 11,800.05, 16,283.34 and 7,086.93 is: 9,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.05 : 16,283.34 = 7,086.93 : x
  2. Step 2: Convert to fraction form
    11,800.05/16,283.34 = 7,086.93/x
  3. Step 3: Cross multiply
    11,800.05x = 16,283.34 × 7,086.93
  4. Step 4: Simplify right side
    11,800.05x = 115,398,890.75
  5. Step 5: Solve for x
    x = 115,398,890.75/11,800.05
  6. Step 6: Final answer
    x = 9,779.53

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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.