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Finding the Fourth Proportional to 11,991, 16,549.02 and 7,023

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Solution

The fourth proportional to 11,991, 16,549.02 and 7,023 is: 9,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 16,549.02 = 7,023 : x
  2. Step 2: Convert to fraction form
    11,991/16,549.02 = 7,023/x
  3. Step 3: Cross multiply
    11,991x = 16,549.02 × 7,023
  4. Step 4: Simplify right side
    11,991x = 116,223,767.46
  5. Step 5: Solve for x
    x = 116,223,767.46/11,991
  6. Step 6: Final answer
    x = 9,692.58

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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.