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Finding the Fourth Proportional to 10,020.30, 13,819.53 and 6,040.54

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Solution

The fourth proportional to 10,020.30, 13,819.53 and 6,040.54 is: 8,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.30 : 13,819.53 = 6,040.54 : x
  2. Step 2: Convert to fraction form
    10,020.30/13,819.53 = 6,040.54/x
  3. Step 3: Cross multiply
    10,020.30x = 13,819.53 × 6,040.54
  4. Step 4: Simplify right side
    10,020.30x = 83,477,423.75
  5. Step 5: Solve for x
    x = 83,477,423.75/10,020.30
  6. Step 6: Final answer
    x = 8,330.83

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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.