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Finding the Fourth Proportional to 12,610.50, 17,406.06 and 7,576.32

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Solution

The fourth proportional to 12,610.50, 17,406.06 and 7,576.32 is: 10,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.50 : 17,406.06 = 7,576.32 : x
  2. Step 2: Convert to fraction form
    12,610.50/17,406.06 = 7,576.32/x
  3. Step 3: Cross multiply
    12,610.50x = 17,406.06 × 7,576.32
  4. Step 4: Simplify right side
    12,610.50x = 131,873,880.50
  5. Step 5: Solve for x
    x = 131,873,880.50/12,610.50
  6. Step 6: Final answer
    x = 10,457.47

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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.