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Finding the Fourth Proportional to 10,005.74, 13,805.93 and 5,529.41

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Solution

The fourth proportional to 10,005.74, 13,805.93 and 5,529.41 is: 7,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.74 : 13,805.93 = 5,529.41 : x
  2. Step 2: Convert to fraction form
    10,005.74/13,805.93 = 5,529.41/x
  3. Step 3: Cross multiply
    10,005.74x = 13,805.93 × 5,529.41
  4. Step 4: Simplify right side
    10,005.74x = 76,338,592.20
  5. Step 5: Solve for x
    x = 76,338,592.20/10,005.74
  6. Step 6: Final answer
    x = 7,629.48

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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.