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Finding the Fourth Proportional to 8,143.40, 12,206.70 and 4,437.80

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Solution

The fourth proportional to 8,143.40, 12,206.70 and 4,437.80 is: 6,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.40 : 12,206.70 = 4,437.80 : x
  2. Step 2: Convert to fraction form
    8,143.40/12,206.70 = 4,437.80/x
  3. Step 3: Cross multiply
    8,143.40x = 12,206.70 × 4,437.80
  4. Step 4: Simplify right side
    8,143.40x = 54,170,893.26
  5. Step 5: Solve for x
    x = 54,170,893.26/8,143.40
  6. Step 6: Final answer
    x = 6,652.12

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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.