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Finding the Fourth Proportional to 10,034.44, 13,848.05 and 5,558.68

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Solution

The fourth proportional to 10,034.44, 13,848.05 and 5,558.68 is: 7,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.44 : 13,848.05 = 5,558.68 : x
  2. Step 2: Convert to fraction form
    10,034.44/13,848.05 = 5,558.68/x
  3. Step 3: Cross multiply
    10,034.44x = 13,848.05 × 5,558.68
  4. Step 4: Simplify right side
    10,034.44x = 76,976,878.57
  5. Step 5: Solve for x
    x = 76,976,878.57/10,034.44
  6. Step 6: Final answer
    x = 7,671.27

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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.