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Finding the Fourth Proportional to 11,858.53, 16,365.63 and 7,078.67

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Solution

The fourth proportional to 11,858.53, 16,365.63 and 7,078.67 is: 9,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.53 : 16,365.63 = 7,078.67 : x
  2. Step 2: Convert to fraction form
    11,858.53/16,365.63 = 7,078.67/x
  3. Step 3: Cross multiply
    11,858.53x = 16,365.63 × 7,078.67
  4. Step 4: Simplify right side
    11,858.53x = 115,846,899.31
  5. Step 5: Solve for x
    x = 115,846,899.31/11,858.53
  6. Step 6: Final answer
    x = 9,769.08

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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.