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Finding the Fourth Proportional to 8,825.56, 12,177.90 and 5,686

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Solution

The fourth proportional to 8,825.56, 12,177.90 and 5,686 is: 7,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.56 : 12,177.90 = 5,686 : x
  2. Step 2: Convert to fraction form
    8,825.56/12,177.90 = 5,686/x
  3. Step 3: Cross multiply
    8,825.56x = 12,177.90 × 5,686
  4. Step 4: Simplify right side
    8,825.56x = 69,243,539.40
  5. Step 5: Solve for x
    x = 69,243,539.40/8,825.56
  6. Step 6: Final answer
    x = 7,845.80

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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.