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Finding the Fourth Proportional to 7,693.89, 11,539.18 and 2,429.31

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Solution

The fourth proportional to 7,693.89, 11,539.18 and 2,429.31 is: 3,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.89 : 11,539.18 = 2,429.31 : x
  2. Step 2: Convert to fraction form
    7,693.89/11,539.18 = 2,429.31/x
  3. Step 3: Cross multiply
    7,693.89x = 11,539.18 × 2,429.31
  4. Step 4: Simplify right side
    7,693.89x = 28,032,239.29
  5. Step 5: Solve for x
    x = 28,032,239.29/7,693.89
  6. Step 6: Final answer
    x = 3,643.44

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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.