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Finding the Fourth Proportional to 8,738.67, 13,097.07 and 6,882.45

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Solution

The fourth proportional to 8,738.67, 13,097.07 and 6,882.45 is: 10,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.67 : 13,097.07 = 6,882.45 : x
  2. Step 2: Convert to fraction form
    8,738.67/13,097.07 = 6,882.45/x
  3. Step 3: Cross multiply
    8,738.67x = 13,097.07 × 6,882.45
  4. Step 4: Simplify right side
    8,738.67x = 90,139,929.42
  5. Step 5: Solve for x
    x = 90,139,929.42/8,738.67
  6. Step 6: Final answer
    x = 10,315.06

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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.