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Finding the Fourth Proportional to 8,287.14, 11,432.40 and 4,928.06

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Solution

The fourth proportional to 8,287.14, 11,432.40 and 4,928.06 is: 6,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.14 : 11,432.40 = 4,928.06 : x
  2. Step 2: Convert to fraction form
    8,287.14/11,432.40 = 4,928.06/x
  3. Step 3: Cross multiply
    8,287.14x = 11,432.40 × 4,928.06
  4. Step 4: Simplify right side
    8,287.14x = 56,339,553.14
  5. Step 5: Solve for x
    x = 56,339,553.14/8,287.14
  6. Step 6: Final answer
    x = 6,798.43

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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.