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Finding the Fourth Proportional to 8,406, 12,607.38 and 2,859.30

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Solution

The fourth proportional to 8,406, 12,607.38 and 2,859.30 is: 4,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 12,607.38 = 2,859.30 : x
  2. Step 2: Convert to fraction form
    8,406/12,607.38 = 2,859.30/x
  3. Step 3: Cross multiply
    8,406x = 12,607.38 × 2,859.30
  4. Step 4: Simplify right side
    8,406x = 36,048,281.63
  5. Step 5: Solve for x
    x = 36,048,281.63/8,406
  6. Step 6: Final answer
    x = 4,288.40

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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.