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Finding the Fourth Proportional to 10,042.74, 13,858.92 and 6,063.84

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Solution

The fourth proportional to 10,042.74, 13,858.92 and 6,063.84 is: 8,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.74 : 13,858.92 = 6,063.84 : x
  2. Step 2: Convert to fraction form
    10,042.74/13,858.92 = 6,063.84/x
  3. Step 3: Cross multiply
    10,042.74x = 13,858.92 × 6,063.84
  4. Step 4: Simplify right side
    10,042.74x = 84,038,273.45
  5. Step 5: Solve for x
    x = 84,038,273.45/10,042.74
  6. Step 6: Final answer
    x = 8,368.06

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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.