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Finding the Fourth Proportional to 7,693.44, 11,537.56 and 2,428.40

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Solution

The fourth proportional to 7,693.44, 11,537.56 and 2,428.40 is: 3,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.44 : 11,537.56 = 2,428.40 : x
  2. Step 2: Convert to fraction form
    7,693.44/11,537.56 = 2,428.40/x
  3. Step 3: Cross multiply
    7,693.44x = 11,537.56 × 2,428.40
  4. Step 4: Simplify right side
    7,693.44x = 28,017,810.70
  5. Step 5: Solve for x
    x = 28,017,810.70/7,693.44
  6. Step 6: Final answer
    x = 3,641.78

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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.