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Finding the Fourth Proportional to 10,828.28, 14,928.40 and 8,932.88

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Solution

The fourth proportional to 10,828.28, 14,928.40 and 8,932.88 is: 12,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.28 : 14,928.40 = 8,932.88 : x
  2. Step 2: Convert to fraction form
    10,828.28/14,928.40 = 8,932.88/x
  3. Step 3: Cross multiply
    10,828.28x = 14,928.40 × 8,932.88
  4. Step 4: Simplify right side
    10,828.28x = 133,353,654.28
  5. Step 5: Solve for x
    x = 133,353,654.28/10,828.28
  6. Step 6: Final answer
    x = 12,315.31

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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.