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Finding the Fourth Proportional to 8,145.48, 12,215.49 and 5,182.10

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Solution

The fourth proportional to 8,145.48, 12,215.49 and 5,182.10 is: 7,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.48 : 12,215.49 = 5,182.10 : x
  2. Step 2: Convert to fraction form
    8,145.48/12,215.49 = 5,182.10/x
  3. Step 3: Cross multiply
    8,145.48x = 12,215.49 × 5,182.10
  4. Step 4: Simplify right side
    8,145.48x = 63,301,890.73
  5. Step 5: Solve for x
    x = 63,301,890.73/8,145.48
  6. Step 6: Final answer
    x = 7,771.41

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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.