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Finding the Fourth Proportional to 11,616.84, 16,031.64 and 6,581.20

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Solution

The fourth proportional to 11,616.84, 16,031.64 and 6,581.20 is: 9,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.84 : 16,031.64 = 6,581.20 : x
  2. Step 2: Convert to fraction form
    11,616.84/16,031.64 = 6,581.20/x
  3. Step 3: Cross multiply
    11,616.84x = 16,031.64 × 6,581.20
  4. Step 4: Simplify right side
    11,616.84x = 105,507,429.17
  5. Step 5: Solve for x
    x = 105,507,429.17/11,616.84
  6. Step 6: Final answer
    x = 9,082.28

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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.