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Finding the Fourth Proportional to 10,020.06, 13,828.18 and 6,042.46

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Solution

The fourth proportional to 10,020.06, 13,828.18 and 6,042.46 is: 8,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.06 : 13,828.18 = 6,042.46 : x
  2. Step 2: Convert to fraction form
    10,020.06/13,828.18 = 6,042.46/x
  3. Step 3: Cross multiply
    10,020.06x = 13,828.18 × 6,042.46
  4. Step 4: Simplify right side
    10,020.06x = 83,556,224.52
  5. Step 5: Solve for x
    x = 83,556,224.52/10,020.06
  6. Step 6: Final answer
    x = 8,338.89

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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.