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Finding the Fourth Proportional to 7,210.06, 10,815.06 and 2,824.42

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Solution

The fourth proportional to 7,210.06, 10,815.06 and 2,824.42 is: 4,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.06 : 10,815.06 = 2,824.42 : x
  2. Step 2: Convert to fraction form
    7,210.06/10,815.06 = 2,824.42/x
  3. Step 3: Cross multiply
    7,210.06x = 10,815.06 × 2,824.42
  4. Step 4: Simplify right side
    7,210.06x = 30,546,271.77
  5. Step 5: Solve for x
    x = 30,546,271.77/7,210.06
  6. Step 6: Final answer
    x = 4,236.62

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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.