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Finding the Fourth Proportional to 10,042.67, 13,858.86 and 5,505.35

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Solution

The fourth proportional to 10,042.67, 13,858.86 and 5,505.35 is: 7,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.67 : 13,858.86 = 5,505.35 : x
  2. Step 2: Convert to fraction form
    10,042.67/13,858.86 = 5,505.35/x
  3. Step 3: Cross multiply
    10,042.67x = 13,858.86 × 5,505.35
  4. Step 4: Simplify right side
    10,042.67x = 76,297,874.90
  5. Step 5: Solve for x
    x = 76,297,874.90/10,042.67
  6. Step 6: Final answer
    x = 7,597.37

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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.