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Finding the Fourth Proportional to 8,206.65, 12,312 and 2,363.72

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Solution

The fourth proportional to 8,206.65, 12,312 and 2,363.72 is: 3,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.65 : 12,312 = 2,363.72 : x
  2. Step 2: Convert to fraction form
    8,206.65/12,312 = 2,363.72/x
  3. Step 3: Cross multiply
    8,206.65x = 12,312 × 2,363.72
  4. Step 4: Simplify right side
    8,206.65x = 29,102,059.08
  5. Step 5: Solve for x
    x = 29,102,059.08/8,206.65
  6. Step 6: Final answer
    x = 3,546.16

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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.