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Finding the Fourth Proportional to 8,020, 12,034.86 and 3,403

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Solution

The fourth proportional to 8,020, 12,034.86 and 3,403 is: 5,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020 : 12,034.86 = 3,403 : x
  2. Step 2: Convert to fraction form
    8,020/12,034.86 = 3,403/x
  3. Step 3: Cross multiply
    8,020x = 12,034.86 × 3,403
  4. Step 4: Simplify right side
    8,020x = 40,954,628.58
  5. Step 5: Solve for x
    x = 40,954,628.58/8,020
  6. Step 6: Final answer
    x = 5,106.56

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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.