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Finding the Fourth Proportional to 10,709.28, 14,786.64 and 7,731.72

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Solution

The fourth proportional to 10,709.28, 14,786.64 and 7,731.72 is: 10,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.28 : 14,786.64 = 7,731.72 : x
  2. Step 2: Convert to fraction form
    10,709.28/14,786.64 = 7,731.72/x
  3. Step 3: Cross multiply
    10,709.28x = 14,786.64 × 7,731.72
  4. Step 4: Simplify right side
    10,709.28x = 114,326,160.22
  5. Step 5: Solve for x
    x = 114,326,160.22/10,709.28
  6. Step 6: Final answer
    x = 10,675.43

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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.