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Finding the Fourth Proportional to 7,675.60, 11,513.28 and 3,777.16

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Solution

The fourth proportional to 7,675.60, 11,513.28 and 3,777.16 is: 5,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.60 : 11,513.28 = 3,777.16 : x
  2. Step 2: Convert to fraction form
    7,675.60/11,513.28 = 3,777.16/x
  3. Step 3: Cross multiply
    7,675.60x = 11,513.28 × 3,777.16
  4. Step 4: Simplify right side
    7,675.60x = 43,487,500.68
  5. Step 5: Solve for x
    x = 43,487,500.68/7,675.60
  6. Step 6: Final answer
    x = 5,665.68

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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.