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Finding the Fourth Proportional to 10,114.59, 13,954.10 and 6,576.51

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Solution

The fourth proportional to 10,114.59, 13,954.10 and 6,576.51 is: 9,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.59 : 13,954.10 = 6,576.51 : x
  2. Step 2: Convert to fraction form
    10,114.59/13,954.10 = 6,576.51/x
  3. Step 3: Cross multiply
    10,114.59x = 13,954.10 × 6,576.51
  4. Step 4: Simplify right side
    10,114.59x = 91,769,245.31
  5. Step 5: Solve for x
    x = 91,769,245.31/10,114.59
  6. Step 6: Final answer
    x = 9,072.96

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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.