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Finding the Fourth Proportional to 8,207.72, 12,282.41 and 6,011.00

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Solution

The fourth proportional to 8,207.72, 12,282.41 and 6,011.00 is: 8,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.72 : 12,282.41 = 6,011.00 : x
  2. Step 2: Convert to fraction form
    8,207.72/12,282.41 = 6,011.00/x
  3. Step 3: Cross multiply
    8,207.72x = 12,282.41 × 6,011.00
  4. Step 4: Simplify right side
    8,207.72x = 73,829,475.04
  5. Step 5: Solve for x
    x = 73,829,475.04/8,207.72
  6. Step 6: Final answer
    x = 8,995.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.