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Finding the Fourth Proportional to 8,022.40, 12,029.04 and 6,374.08

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Solution

The fourth proportional to 8,022.40, 12,029.04 and 6,374.08 is: 9,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.40 : 12,029.04 = 6,374.08 : x
  2. Step 2: Convert to fraction form
    8,022.40/12,029.04 = 6,374.08/x
  3. Step 3: Cross multiply
    8,022.40x = 12,029.04 × 6,374.08
  4. Step 4: Simplify right side
    8,022.40x = 76,674,063.28
  5. Step 5: Solve for x
    x = 76,674,063.28/8,022.40
  6. Step 6: Final answer
    x = 9,557.50

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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.