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Finding the Fourth Proportional to 10,713.63, 14,782.70 and 6,732.44

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Solution

The fourth proportional to 10,713.63, 14,782.70 and 6,732.44 is: 9,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.63 : 14,782.70 = 6,732.44 : x
  2. Step 2: Convert to fraction form
    10,713.63/14,782.70 = 6,732.44/x
  3. Step 3: Cross multiply
    10,713.63x = 14,782.70 × 6,732.44
  4. Step 4: Simplify right side
    10,713.63x = 99,523,533.21
  5. Step 5: Solve for x
    x = 99,523,533.21/10,713.63
  6. Step 6: Final answer
    x = 9,289.43

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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.