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Finding the Fourth Proportional to 11,165.45, 16,723.01 and 7,848.43

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Solution

The fourth proportional to 11,165.45, 16,723.01 and 7,848.43 is: 11,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.45 : 16,723.01 = 7,848.43 : x
  2. Step 2: Convert to fraction form
    11,165.45/16,723.01 = 7,848.43/x
  3. Step 3: Cross multiply
    11,165.45x = 16,723.01 × 7,848.43
  4. Step 4: Simplify right side
    11,165.45x = 131,249,351.19
  5. Step 5: Solve for x
    x = 131,249,351.19/11,165.45
  6. Step 6: Final answer
    x = 11,754.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.