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Finding the Fourth Proportional to 7,081.54, 9,779.60 and 5,834.94

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Solution

The fourth proportional to 7,081.54, 9,779.60 and 5,834.94 is: 8,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.54 : 9,779.60 = 5,834.94 : x
  2. Step 2: Convert to fraction form
    7,081.54/9,779.60 = 5,834.94/x
  3. Step 3: Cross multiply
    7,081.54x = 9,779.60 × 5,834.94
  4. Step 4: Simplify right side
    7,081.54x = 57,063,379.22
  5. Step 5: Solve for x
    x = 57,063,379.22/7,081.54
  6. Step 6: Final answer
    x = 8,058.05

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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.