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Finding the Fourth Proportional to 8,285.80, 11,430.60 and 5,774.08

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Solution

The fourth proportional to 8,285.80, 11,430.60 and 5,774.08 is: 7,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.80 : 11,430.60 = 5,774.08 : x
  2. Step 2: Convert to fraction form
    8,285.80/11,430.60 = 5,774.08/x
  3. Step 3: Cross multiply
    8,285.80x = 11,430.60 × 5,774.08
  4. Step 4: Simplify right side
    8,285.80x = 66,001,198.85
  5. Step 5: Solve for x
    x = 66,001,198.85/8,285.80
  6. Step 6: Final answer
    x = 7,965.58

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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.