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Finding the Fourth Proportional to 8,020.84, 12,028 and 4,899.64

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Solution

The fourth proportional to 8,020.84, 12,028 and 4,899.64 is: 7,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.84 : 12,028 = 4,899.64 : x
  2. Step 2: Convert to fraction form
    8,020.84/12,028 = 4,899.64/x
  3. Step 3: Cross multiply
    8,020.84x = 12,028 × 4,899.64
  4. Step 4: Simplify right side
    8,020.84x = 58,932,869.92
  5. Step 5: Solve for x
    x = 58,932,869.92/8,020.84
  6. Step 6: Final answer
    x = 7,347.47

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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.