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Finding the Fourth Proportional to 10,212.15, 15,303.97 and 5,522.05

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Solution

The fourth proportional to 10,212.15, 15,303.97 and 5,522.05 is: 8,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.15 : 15,303.97 = 5,522.05 : x
  2. Step 2: Convert to fraction form
    10,212.15/15,303.97 = 5,522.05/x
  3. Step 3: Cross multiply
    10,212.15x = 15,303.97 × 5,522.05
  4. Step 4: Simplify right side
    10,212.15x = 84,509,287.54
  5. Step 5: Solve for x
    x = 84,509,287.54/10,212.15
  6. Step 6: Final answer
    x = 8,275.37

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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.