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Finding the Fourth Proportional to 8,207.04, 12,302.82 and 3,009

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Solution

The fourth proportional to 8,207.04, 12,302.82 and 3,009 is: 4,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.04 : 12,302.82 = 3,009 : x
  2. Step 2: Convert to fraction form
    8,207.04/12,302.82 = 3,009/x
  3. Step 3: Cross multiply
    8,207.04x = 12,302.82 × 3,009
  4. Step 4: Simplify right side
    8,207.04x = 37,019,185.38
  5. Step 5: Solve for x
    x = 37,019,185.38/8,207.04
  6. Step 6: Final answer
    x = 4,510.66

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Why These Related Problems?

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