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Finding the Fourth Proportional to 8,225.70, 11,344.29 and 5,830.94

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Solution

The fourth proportional to 8,225.70, 11,344.29 and 5,830.94 is: 8,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.70 : 11,344.29 = 5,830.94 : x
  2. Step 2: Convert to fraction form
    8,225.70/11,344.29 = 5,830.94/x
  3. Step 3: Cross multiply
    8,225.70x = 11,344.29 × 5,830.94
  4. Step 4: Simplify right side
    8,225.70x = 66,147,817.61
  5. Step 5: Solve for x
    x = 66,147,817.61/8,225.70
  6. Step 6: Final answer
    x = 8,041.60

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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.