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Finding the Fourth Proportional to 10,305.18, 14,222.97 and 5,830.34

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Solution

The fourth proportional to 10,305.18, 14,222.97 and 5,830.34 is: 8,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.18 : 14,222.97 = 5,830.34 : x
  2. Step 2: Convert to fraction form
    10,305.18/14,222.97 = 5,830.34/x
  3. Step 3: Cross multiply
    10,305.18x = 14,222.97 × 5,830.34
  4. Step 4: Simplify right side
    10,305.18x = 82,924,679.79
  5. Step 5: Solve for x
    x = 82,924,679.79/10,305.18
  6. Step 6: Final answer
    x = 8,046.89

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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.