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Finding the Fourth Proportional to 11,622, 16,031.28 and 6,903.12

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Solution

The fourth proportional to 11,622, 16,031.28 and 6,903.12 is: 9,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622 : 16,031.28 = 6,903.12 : x
  2. Step 2: Convert to fraction form
    11,622/16,031.28 = 6,903.12/x
  3. Step 3: Cross multiply
    11,622x = 16,031.28 × 6,903.12
  4. Step 4: Simplify right side
    11,622x = 110,665,849.59
  5. Step 5: Solve for x
    x = 110,665,849.59/11,622
  6. Step 6: Final answer
    x = 9,522.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.