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Finding the Fourth Proportional to 7,588.96, 11,383.52 and 3,693.76

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Solution

The fourth proportional to 7,588.96, 11,383.52 and 3,693.76 is: 5,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.96 : 11,383.52 = 3,693.76 : x
  2. Step 2: Convert to fraction form
    7,588.96/11,383.52 = 3,693.76/x
  3. Step 3: Cross multiply
    7,588.96x = 11,383.52 × 3,693.76
  4. Step 4: Simplify right side
    7,588.96x = 42,047,990.84
  5. Step 5: Solve for x
    x = 42,047,990.84/7,588.96
  6. Step 6: Final answer
    x = 5,540.68

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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.