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Finding the Fourth Proportional to 10,676.41, 14,709.47 and 7,443.23

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Solution

The fourth proportional to 10,676.41, 14,709.47 and 7,443.23 is: 10,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.41 : 14,709.47 = 7,443.23 : x
  2. Step 2: Convert to fraction form
    10,676.41/14,709.47 = 7,443.23/x
  3. Step 3: Cross multiply
    10,676.41x = 14,709.47 × 7,443.23
  4. Step 4: Simplify right side
    10,676.41x = 109,485,857.62
  5. Step 5: Solve for x
    x = 109,485,857.62/10,676.41
  6. Step 6: Final answer
    x = 10,254.93

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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.