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Finding the Fourth Proportional to 7,277.40, 10,915.62 and 2,083.80

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Solution

The fourth proportional to 7,277.40, 10,915.62 and 2,083.80 is: 3,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.40 : 10,915.62 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    7,277.40/10,915.62 = 2,083.80/x
  3. Step 3: Cross multiply
    7,277.40x = 10,915.62 × 2,083.80
  4. Step 4: Simplify right side
    7,277.40x = 22,745,968.96
  5. Step 5: Solve for x
    x = 22,745,968.96/7,277.40
  6. Step 6: Final answer
    x = 3,125.56

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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.