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Finding the Fourth Proportional to 8,124.40, 12,162.30 and 7,643.80

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Solution

The fourth proportional to 8,124.40, 12,162.30 and 7,643.80 is: 11,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.40 : 12,162.30 = 7,643.80 : x
  2. Step 2: Convert to fraction form
    8,124.40/12,162.30 = 7,643.80/x
  3. Step 3: Cross multiply
    8,124.40x = 12,162.30 × 7,643.80
  4. Step 4: Simplify right side
    8,124.40x = 92,966,188.74
  5. Step 5: Solve for x
    x = 92,966,188.74/8,124.40
  6. Step 6: Final answer
    x = 11,442.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.