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Finding the Fourth Proportional to 11,652.56, 17,479.32 and 6,102.80

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Solution

The fourth proportional to 11,652.56, 17,479.32 and 6,102.80 is: 9,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.56 : 17,479.32 = 6,102.80 : x
  2. Step 2: Convert to fraction form
    11,652.56/17,479.32 = 6,102.80/x
  3. Step 3: Cross multiply
    11,652.56x = 17,479.32 × 6,102.80
  4. Step 4: Simplify right side
    11,652.56x = 106,672,794.10
  5. Step 5: Solve for x
    x = 106,672,794.10/11,652.56
  6. Step 6: Final answer
    x = 9,154.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.