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Finding the Fourth Proportional to 8,206.60, 12,309.90 and 4,923.40

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Solution

The fourth proportional to 8,206.60, 12,309.90 and 4,923.40 is: 7,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.60 : 12,309.90 = 4,923.40 : x
  2. Step 2: Convert to fraction form
    8,206.60/12,309.90 = 4,923.40/x
  3. Step 3: Cross multiply
    8,206.60x = 12,309.90 × 4,923.40
  4. Step 4: Simplify right side
    8,206.60x = 60,606,561.66
  5. Step 5: Solve for x
    x = 60,606,561.66/8,206.60
  6. Step 6: Final answer
    x = 7,385.10

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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.