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Finding the Fourth Proportional to 7,732.96, 11,594.28 and 3,987.06

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Solution

The fourth proportional to 7,732.96, 11,594.28 and 3,987.06 is: 5,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.96 : 11,594.28 = 3,987.06 : x
  2. Step 2: Convert to fraction form
    7,732.96/11,594.28 = 3,987.06/x
  3. Step 3: Cross multiply
    7,732.96x = 11,594.28 × 3,987.06
  4. Step 4: Simplify right side
    7,732.96x = 46,227,090.02
  5. Step 5: Solve for x
    x = 46,227,090.02/7,732.96
  6. Step 6: Final answer
    x = 5,977.93

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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.