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Finding the Fourth Proportional to 7,575.64, 11,348.34 and 6,018.28

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Solution

The fourth proportional to 7,575.64, 11,348.34 and 6,018.28 is: 9,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.64 : 11,348.34 = 6,018.28 : x
  2. Step 2: Convert to fraction form
    7,575.64/11,348.34 = 6,018.28/x
  3. Step 3: Cross multiply
    7,575.64x = 11,348.34 × 6,018.28
  4. Step 4: Simplify right side
    7,575.64x = 68,297,487.66
  5. Step 5: Solve for x
    x = 68,297,487.66/7,575.64
  6. Step 6: Final answer
    x = 9,015.41

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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.