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Finding the Fourth Proportional to 11,857.60, 17,786.40 and 5,276.80

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Solution

The fourth proportional to 11,857.60, 17,786.40 and 5,276.80 is: 7,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.60 : 17,786.40 = 5,276.80 : x
  2. Step 2: Convert to fraction form
    11,857.60/17,786.40 = 5,276.80/x
  3. Step 3: Cross multiply
    11,857.60x = 17,786.40 × 5,276.80
  4. Step 4: Simplify right side
    11,857.60x = 93,855,275.52
  5. Step 5: Solve for x
    x = 93,855,275.52/11,857.60
  6. Step 6: Final answer
    x = 7,915.20

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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.