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Finding the Fourth Proportional to 10,367.66, 14,301.36 and 7,376.94

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Solution

The fourth proportional to 10,367.66, 14,301.36 and 7,376.94 is: 10,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.66 : 14,301.36 = 7,376.94 : x
  2. Step 2: Convert to fraction form
    10,367.66/14,301.36 = 7,376.94/x
  3. Step 3: Cross multiply
    10,367.66x = 14,301.36 × 7,376.94
  4. Step 4: Simplify right side
    10,367.66x = 105,500,274.64
  5. Step 5: Solve for x
    x = 105,500,274.64/10,367.66
  6. Step 6: Final answer
    x = 10,175.90

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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.