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Finding the Fourth Proportional to 8,493.84, 12,733.08 and 3,020.56

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Solution

The fourth proportional to 8,493.84, 12,733.08 and 3,020.56 is: 4,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.84 : 12,733.08 = 3,020.56 : x
  2. Step 2: Convert to fraction form
    8,493.84/12,733.08 = 3,020.56/x
  3. Step 3: Cross multiply
    8,493.84x = 12,733.08 × 3,020.56
  4. Step 4: Simplify right side
    8,493.84x = 38,461,032.12
  5. Step 5: Solve for x
    x = 38,461,032.12/8,493.84
  6. Step 6: Final answer
    x = 4,528.11

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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.