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Finding the Fourth Proportional to 7,210.60, 10,821.98 and 2,831.13

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Solution

The fourth proportional to 7,210.60, 10,821.98 and 2,831.13 is: 4,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.60 : 10,821.98 = 2,831.13 : x
  2. Step 2: Convert to fraction form
    7,210.60/10,821.98 = 2,831.13/x
  3. Step 3: Cross multiply
    7,210.60x = 10,821.98 × 2,831.13
  4. Step 4: Simplify right side
    7,210.60x = 30,638,418.08
  5. Step 5: Solve for x
    x = 30,638,418.08/7,210.60
  6. Step 6: Final answer
    x = 4,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.