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Finding the Fourth Proportional to 10,029.51, 13,841.22 and 5,553.75

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Solution

The fourth proportional to 10,029.51, 13,841.22 and 5,553.75 is: 7,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.51 : 13,841.22 = 5,553.75 : x
  2. Step 2: Convert to fraction form
    10,029.51/13,841.22 = 5,553.75/x
  3. Step 3: Cross multiply
    10,029.51x = 13,841.22 × 5,553.75
  4. Step 4: Simplify right side
    10,029.51x = 76,870,675.58
  5. Step 5: Solve for x
    x = 76,870,675.58/10,029.51
  6. Step 6: Final answer
    x = 7,664.45

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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.