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Finding the Fourth Proportional to 11,686.32, 16,122.48 and 7,202.28

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Solution

The fourth proportional to 11,686.32, 16,122.48 and 7,202.28 is: 9,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.32 : 16,122.48 = 7,202.28 : x
  2. Step 2: Convert to fraction form
    11,686.32/16,122.48 = 7,202.28/x
  3. Step 3: Cross multiply
    11,686.32x = 16,122.48 × 7,202.28
  4. Step 4: Simplify right side
    11,686.32x = 116,118,615.25
  5. Step 5: Solve for x
    x = 116,118,615.25/11,686.32
  6. Step 6: Final answer
    x = 9,936.29

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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.