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Finding the Fourth Proportional to 7,569.64, 11,355.60 and 2,375

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Solution

The fourth proportional to 7,569.64, 11,355.60 and 2,375 is: 3,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.64 : 11,355.60 = 2,375 : x
  2. Step 2: Convert to fraction form
    7,569.64/11,355.60 = 2,375/x
  3. Step 3: Cross multiply
    7,569.64x = 11,355.60 × 2,375
  4. Step 4: Simplify right side
    7,569.64x = 26,969,550
  5. Step 5: Solve for x
    x = 26,969,550/7,569.64
  6. Step 6: Final answer
    x = 3,562.86

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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.