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Finding the Fourth Proportional to 8,130.36, 12,195.09 and 2,865.63

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Solution

The fourth proportional to 8,130.36, 12,195.09 and 2,865.63 is: 4,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.36 : 12,195.09 = 2,865.63 : x
  2. Step 2: Convert to fraction form
    8,130.36/12,195.09 = 2,865.63/x
  3. Step 3: Cross multiply
    8,130.36x = 12,195.09 × 2,865.63
  4. Step 4: Simplify right side
    8,130.36x = 34,946,615.76
  5. Step 5: Solve for x
    x = 34,946,615.76/8,130.36
  6. Step 6: Final answer
    x = 4,298.29

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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.