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Finding the Fourth Proportional to 7,412, 10,228.84 and 4,225.80

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Solution

The fourth proportional to 7,412, 10,228.84 and 4,225.80 is: 5,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412 : 10,228.84 = 4,225.80 : x
  2. Step 2: Convert to fraction form
    7,412/10,228.84 = 4,225.80/x
  3. Step 3: Cross multiply
    7,412x = 10,228.84 × 4,225.80
  4. Step 4: Simplify right side
    7,412x = 43,225,032.07
  5. Step 5: Solve for x
    x = 43,225,032.07/7,412
  6. Step 6: Final answer
    x = 5,831.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.