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Finding the Fourth Proportional to 11,805.60, 17,686.80 and 7,183.20

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Solution

The fourth proportional to 11,805.60, 17,686.80 and 7,183.20 is: 10,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.60 : 17,686.80 = 7,183.20 : x
  2. Step 2: Convert to fraction form
    11,805.60/17,686.80 = 7,183.20/x
  3. Step 3: Cross multiply
    11,805.60x = 17,686.80 × 7,183.20
  4. Step 4: Simplify right side
    11,805.60x = 127,047,821.76
  5. Step 5: Solve for x
    x = 127,047,821.76/11,805.60
  6. Step 6: Final answer
    x = 10,761.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.