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Finding the Fourth Proportional to 7,340.56, 11,011.32 and 2,146

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Solution

The fourth proportional to 7,340.56, 11,011.32 and 2,146 is: 3,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.56 : 11,011.32 = 2,146 : x
  2. Step 2: Convert to fraction form
    7,340.56/11,011.32 = 2,146/x
  3. Step 3: Cross multiply
    7,340.56x = 11,011.32 × 2,146
  4. Step 4: Simplify right side
    7,340.56x = 23,630,292.72
  5. Step 5: Solve for x
    x = 23,630,292.72/7,340.56
  6. Step 6: Final answer
    x = 3,219.14

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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.