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Finding the Fourth Proportional to 8,256.10, 12,386.07 and 2,709.10

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Solution

The fourth proportional to 8,256.10, 12,386.07 and 2,709.10 is: 4,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.10 : 12,386.07 = 2,709.10 : x
  2. Step 2: Convert to fraction form
    8,256.10/12,386.07 = 2,709.10/x
  3. Step 3: Cross multiply
    8,256.10x = 12,386.07 × 2,709.10
  4. Step 4: Simplify right side
    8,256.10x = 33,555,102.24
  5. Step 5: Solve for x
    x = 33,555,102.24/8,256.10
  6. Step 6: Final answer
    x = 4,064.28

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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.