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Finding the Fourth Proportional to 10,557.54, 14,576.04 and 6,782.22

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Solution

The fourth proportional to 10,557.54, 14,576.04 and 6,782.22 is: 9,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.54 : 14,576.04 = 6,782.22 : x
  2. Step 2: Convert to fraction form
    10,557.54/14,576.04 = 6,782.22/x
  3. Step 3: Cross multiply
    10,557.54x = 14,576.04 × 6,782.22
  4. Step 4: Simplify right side
    10,557.54x = 98,857,910.01
  5. Step 5: Solve for x
    x = 98,857,910.01/10,557.54
  6. Step 6: Final answer
    x = 9,363.73

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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.