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Finding the Fourth Proportional to 10,188.37, 14,038.88 and 8,190.91

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Solution

The fourth proportional to 10,188.37, 14,038.88 and 8,190.91 is: 11,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.37 : 14,038.88 = 8,190.91 : x
  2. Step 2: Convert to fraction form
    10,188.37/14,038.88 = 8,190.91/x
  3. Step 3: Cross multiply
    10,188.37x = 14,038.88 × 8,190.91
  4. Step 4: Simplify right side
    10,188.37x = 114,991,202.58
  5. Step 5: Solve for x
    x = 114,991,202.58/10,188.37
  6. Step 6: Final answer
    x = 11,286.52

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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.