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Finding the Fourth Proportional to 8,286.00, 11,432.10 and 4,700.36

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Solution

The fourth proportional to 8,286.00, 11,432.10 and 4,700.36 is: 6,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.00 : 11,432.10 = 4,700.36 : x
  2. Step 2: Convert to fraction form
    8,286.00/11,432.10 = 4,700.36/x
  3. Step 3: Cross multiply
    8,286.00x = 11,432.10 × 4,700.36
  4. Step 4: Simplify right side
    8,286.00x = 53,734,962.05
  5. Step 5: Solve for x
    x = 53,734,962.05/8,286.00
  6. Step 6: Final answer
    x = 6,485.03

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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.