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Finding the Fourth Proportional to 10,711.64, 14,775.09 and 6,729.23

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Solution

The fourth proportional to 10,711.64, 14,775.09 and 6,729.23 is: 9,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.64 : 14,775.09 = 6,729.23 : x
  2. Step 2: Convert to fraction form
    10,711.64/14,775.09 = 6,729.23/x
  3. Step 3: Cross multiply
    10,711.64x = 14,775.09 × 6,729.23
  4. Step 4: Simplify right side
    10,711.64x = 99,424,978.88
  5. Step 5: Solve for x
    x = 99,424,978.88/10,711.64
  6. Step 6: Final answer
    x = 9,281.96

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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.