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Finding the Fourth Proportional to 10,190.62, 14,069.19 and 6,659.74

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Solution

The fourth proportional to 10,190.62, 14,069.19 and 6,659.74 is: 9,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.62 : 14,069.19 = 6,659.74 : x
  2. Step 2: Convert to fraction form
    10,190.62/14,069.19 = 6,659.74/x
  3. Step 3: Cross multiply
    10,190.62x = 14,069.19 × 6,659.74
  4. Step 4: Simplify right side
    10,190.62x = 93,697,147.41
  5. Step 5: Solve for x
    x = 93,697,147.41/10,190.62
  6. Step 6: Final answer
    x = 9,194.45

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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.