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Finding the Fourth Proportional to 7,588.64, 11,393.52 and 3,893.44

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Solution

The fourth proportional to 7,588.64, 11,393.52 and 3,893.44 is: 5,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.64 : 11,393.52 = 3,893.44 : x
  2. Step 2: Convert to fraction form
    7,588.64/11,393.52 = 3,893.44/x
  3. Step 3: Cross multiply
    7,588.64x = 11,393.52 × 3,893.44
  4. Step 4: Simplify right side
    7,588.64x = 44,359,986.51
  5. Step 5: Solve for x
    x = 44,359,986.51/7,588.64
  6. Step 6: Final answer
    x = 5,845.58

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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.