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Finding the Fourth Proportional to 10,665.60, 16,012.80 and 8,476.80

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Solution

The fourth proportional to 10,665.60, 16,012.80 and 8,476.80 is: 12,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.60 : 16,012.80 = 8,476.80 : x
  2. Step 2: Convert to fraction form
    10,665.60/16,012.80 = 8,476.80/x
  3. Step 3: Cross multiply
    10,665.60x = 16,012.80 × 8,476.80
  4. Step 4: Simplify right side
    10,665.60x = 135,737,303.04
  5. Step 5: Solve for x
    x = 135,737,303.04/10,665.60
  6. Step 6: Final answer
    x = 12,726.64

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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.