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Finding the Fourth Proportional to 8,496.88, 12,742.08 and 3,302.08

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Solution

The fourth proportional to 8,496.88, 12,742.08 and 3,302.08 is: 4,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.88 : 12,742.08 = 3,302.08 : x
  2. Step 2: Convert to fraction form
    8,496.88/12,742.08 = 3,302.08/x
  3. Step 3: Cross multiply
    8,496.88x = 12,742.08 × 3,302.08
  4. Step 4: Simplify right side
    8,496.88x = 42,075,367.53
  5. Step 5: Solve for x
    x = 42,075,367.53/8,496.88
  6. Step 6: Final answer
    x = 4,951.86

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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.