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Finding the Fourth Proportional to 8,415.10, 12,623.34 and 3,483.82

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Solution

The fourth proportional to 8,415.10, 12,623.34 and 3,483.82 is: 5,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.10 : 12,623.34 = 3,483.82 : x
  2. Step 2: Convert to fraction form
    8,415.10/12,623.34 = 3,483.82/x
  3. Step 3: Cross multiply
    8,415.10x = 12,623.34 × 3,483.82
  4. Step 4: Simplify right side
    8,415.10x = 43,977,444.36
  5. Step 5: Solve for x
    x = 43,977,444.36/8,415.10
  6. Step 6: Final answer
    x = 5,226.02

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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.