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Finding the Fourth Proportional to 7,230.21, 10,846.88 and 4,111.71

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Solution

The fourth proportional to 7,230.21, 10,846.88 and 4,111.71 is: 6,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.21 : 10,846.88 = 4,111.71 : x
  2. Step 2: Convert to fraction form
    7,230.21/10,846.88 = 4,111.71/x
  3. Step 3: Cross multiply
    7,230.21x = 10,846.88 × 4,111.71
  4. Step 4: Simplify right side
    7,230.21x = 44,599,204.41
  5. Step 5: Solve for x
    x = 44,599,204.41/7,230.21
  6. Step 6: Final answer
    x = 6,168.45

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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.