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Finding the Fourth Proportional to 7,704.60, 11,556.90 and 2,158.13

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Solution

The fourth proportional to 7,704.60, 11,556.90 and 2,158.13 is: 3,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.60 : 11,556.90 = 2,158.13 : x
  2. Step 2: Convert to fraction form
    7,704.60/11,556.90 = 2,158.13/x
  3. Step 3: Cross multiply
    7,704.60x = 11,556.90 × 2,158.13
  4. Step 4: Simplify right side
    7,704.60x = 24,941,234.81
  5. Step 5: Solve for x
    x = 24,941,234.81/7,704.60
  6. Step 6: Final answer
    x = 3,237.19

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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.