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Finding the Fourth Proportional to 7,204.74, 10,806.63 and 4,431.84

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Solution

The fourth proportional to 7,204.74, 10,806.63 and 4,431.84 is: 6,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.74 : 10,806.63 = 4,431.84 : x
  2. Step 2: Convert to fraction form
    7,204.74/10,806.63 = 4,431.84/x
  3. Step 3: Cross multiply
    7,204.74x = 10,806.63 × 4,431.84
  4. Step 4: Simplify right side
    7,204.74x = 47,893,255.10
  5. Step 5: Solve for x
    x = 47,893,255.10/7,204.74
  6. Step 6: Final answer
    x = 6,647.46

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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.