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Finding the Fourth Proportional to 10,042.18, 13,857.73 and 5,504.83

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Solution

The fourth proportional to 10,042.18, 13,857.73 and 5,504.83 is: 7,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.18 : 13,857.73 = 5,504.83 : x
  2. Step 2: Convert to fraction form
    10,042.18/13,857.73 = 5,504.83/x
  3. Step 3: Cross multiply
    10,042.18x = 13,857.73 × 5,504.83
  4. Step 4: Simplify right side
    10,042.18x = 76,284,430.39
  5. Step 5: Solve for x
    x = 76,284,430.39/10,042.18
  6. Step 6: Final answer
    x = 7,596.40

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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.