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Finding the Fourth Proportional to 8,031.20, 12,028.08 and 7,809.72

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Solution

The fourth proportional to 8,031.20, 12,028.08 and 7,809.72 is: 11,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.20 : 12,028.08 = 7,809.72 : x
  2. Step 2: Convert to fraction form
    8,031.20/12,028.08 = 7,809.72/x
  3. Step 3: Cross multiply
    8,031.20x = 12,028.08 × 7,809.72
  4. Step 4: Simplify right side
    8,031.20x = 93,935,936.94
  5. Step 5: Solve for x
    x = 93,935,936.94/8,031.20
  6. Step 6: Final answer
    x = 11,696.38

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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.