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Finding the Fourth Proportional to 8,600.46, 12,888.50 and 3,665.12

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Solution

The fourth proportional to 8,600.46, 12,888.50 and 3,665.12 is: 5,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.46 : 12,888.50 = 3,665.12 : x
  2. Step 2: Convert to fraction form
    8,600.46/12,888.50 = 3,665.12/x
  3. Step 3: Cross multiply
    8,600.46x = 12,888.50 × 3,665.12
  4. Step 4: Simplify right side
    8,600.46x = 47,237,899.12
  5. Step 5: Solve for x
    x = 47,237,899.12/8,600.46
  6. Step 6: Final answer
    x = 5,492.49

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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.