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Finding the Fourth Proportional to 11,798.64, 16,286.98 and 7,082

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Solution

The fourth proportional to 11,798.64, 16,286.98 and 7,082 is: 9,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.64 : 16,286.98 = 7,082 : x
  2. Step 2: Convert to fraction form
    11,798.64/16,286.98 = 7,082/x
  3. Step 3: Cross multiply
    11,798.64x = 16,286.98 × 7,082
  4. Step 4: Simplify right side
    11,798.64x = 115,344,392.36
  5. Step 5: Solve for x
    x = 115,344,392.36/11,798.64
  6. Step 6: Final answer
    x = 9,776.08

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Why These Related Problems?

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