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Finding the Fourth Proportional to 8,429.30, 12,643.95 and 2,188.80

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Solution

The fourth proportional to 8,429.30, 12,643.95 and 2,188.80 is: 3,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.30 : 12,643.95 = 2,188.80 : x
  2. Step 2: Convert to fraction form
    8,429.30/12,643.95 = 2,188.80/x
  3. Step 3: Cross multiply
    8,429.30x = 12,643.95 × 2,188.80
  4. Step 4: Simplify right side
    8,429.30x = 27,675,077.76
  5. Step 5: Solve for x
    x = 27,675,077.76/8,429.30
  6. Step 6: Final answer
    x = 3,283.20

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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.