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Finding the Fourth Proportional to 8,096.02, 12,145.17 and 2,547.47

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Solution

The fourth proportional to 8,096.02, 12,145.17 and 2,547.47 is: 3,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.02 : 12,145.17 = 2,547.47 : x
  2. Step 2: Convert to fraction form
    8,096.02/12,145.17 = 2,547.47/x
  3. Step 3: Cross multiply
    8,096.02x = 12,145.17 × 2,547.47
  4. Step 4: Simplify right side
    8,096.02x = 30,939,456.22
  5. Step 5: Solve for x
    x = 30,939,456.22/8,096.02
  6. Step 6: Final answer
    x = 3,821.56

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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.