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Finding the Fourth Proportional to 7,210.74, 10,809.70 and 2,831.26

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Solution

The fourth proportional to 7,210.74, 10,809.70 and 2,831.26 is: 4,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.74 : 10,809.70 = 2,831.26 : x
  2. Step 2: Convert to fraction form
    7,210.74/10,809.70 = 2,831.26/x
  3. Step 3: Cross multiply
    7,210.74x = 10,809.70 × 2,831.26
  4. Step 4: Simplify right side
    7,210.74x = 30,605,071.22
  5. Step 5: Solve for x
    x = 30,605,071.22/7,210.74
  6. Step 6: Final answer
    x = 4,244.37

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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.