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Finding the Fourth Proportional to 10,198.62, 14,066.16 and 7,376.58

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Solution

The fourth proportional to 10,198.62, 14,066.16 and 7,376.58 is: 10,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.62 : 14,066.16 = 7,376.58 : x
  2. Step 2: Convert to fraction form
    10,198.62/14,066.16 = 7,376.58/x
  3. Step 3: Cross multiply
    10,198.62x = 14,066.16 × 7,376.58
  4. Step 4: Simplify right side
    10,198.62x = 103,760,154.53
  5. Step 5: Solve for x
    x = 103,760,154.53/10,198.62
  6. Step 6: Final answer
    x = 10,173.94

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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.