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Finding the Fourth Proportional to 8,405.10, 12,599.65 and 3,138.70

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Solution

The fourth proportional to 8,405.10, 12,599.65 and 3,138.70 is: 4,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.10 : 12,599.65 = 3,138.70 : x
  2. Step 2: Convert to fraction form
    8,405.10/12,599.65 = 3,138.70/x
  3. Step 3: Cross multiply
    8,405.10x = 12,599.65 × 3,138.70
  4. Step 4: Simplify right side
    8,405.10x = 39,546,521.46
  5. Step 5: Solve for x
    x = 39,546,521.46/8,405.10
  6. Step 6: Final answer
    x = 4,705.06

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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.