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Finding the Fourth Proportional to 10,029.73, 13,840.93 and 5,553.61

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Solution

The fourth proportional to 10,029.73, 13,840.93 and 5,553.61 is: 7,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.73 : 13,840.93 = 5,553.61 : x
  2. Step 2: Convert to fraction form
    10,029.73/13,840.93 = 5,553.61/x
  3. Step 3: Cross multiply
    10,029.73x = 13,840.93 × 5,553.61
  4. Step 4: Simplify right side
    10,029.73x = 76,867,127.26
  5. Step 5: Solve for x
    x = 76,867,127.26/10,029.73
  6. Step 6: Final answer
    x = 7,663.93

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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.