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Finding the Fourth Proportional to 7,234.40, 10,835.40 and 5,938.40

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Solution

The fourth proportional to 7,234.40, 10,835.40 and 5,938.40 is: 8,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.40 : 10,835.40 = 5,938.40 : x
  2. Step 2: Convert to fraction form
    7,234.40/10,835.40 = 5,938.40/x
  3. Step 3: Cross multiply
    7,234.40x = 10,835.40 × 5,938.40
  4. Step 4: Simplify right side
    7,234.40x = 64,344,939.36
  5. Step 5: Solve for x
    x = 64,344,939.36/7,234.40
  6. Step 6: Final answer
    x = 8,894.30

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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.