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Finding the Fourth Proportional to 7,408.19, 10,223.93 and 4,222.46

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Solution

The fourth proportional to 7,408.19, 10,223.93 and 4,222.46 is: 5,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.19 : 10,223.93 = 4,222.46 : x
  2. Step 2: Convert to fraction form
    7,408.19/10,223.93 = 4,222.46/x
  3. Step 3: Cross multiply
    7,408.19x = 10,223.93 × 4,222.46
  4. Step 4: Simplify right side
    7,408.19x = 43,170,135.47
  5. Step 5: Solve for x
    x = 43,170,135.47/7,408.19
  6. Step 6: Final answer
    x = 5,827.35

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