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Finding the Fourth Proportional to 7,317.56, 10,976.82 and 2,123

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Solution

The fourth proportional to 7,317.56, 10,976.82 and 2,123 is: 3,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.56 : 10,976.82 = 2,123 : x
  2. Step 2: Convert to fraction form
    7,317.56/10,976.82 = 2,123/x
  3. Step 3: Cross multiply
    7,317.56x = 10,976.82 × 2,123
  4. Step 4: Simplify right side
    7,317.56x = 23,303,788.86
  5. Step 5: Solve for x
    x = 23,303,788.86/7,317.56
  6. Step 6: Final answer
    x = 3,184.64

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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.