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Finding the Fourth Proportional to 8,541, 12,811.50 and 2,385

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Solution

The fourth proportional to 8,541, 12,811.50 and 2,385 is: 3,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 12,811.50 = 2,385 : x
  2. Step 2: Convert to fraction form
    8,541/12,811.50 = 2,385/x
  3. Step 3: Cross multiply
    8,541x = 12,811.50 × 2,385
  4. Step 4: Simplify right side
    8,541x = 30,555,427.50
  5. Step 5: Solve for x
    x = 30,555,427.50/8,541
  6. Step 6: Final answer
    x = 3,577.50

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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.