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Finding the Fourth Proportional to 10,557.75, 14,563.33 and 6,972.73

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Solution

The fourth proportional to 10,557.75, 14,563.33 and 6,972.73 is: 9,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.75 : 14,563.33 = 6,972.73 : x
  2. Step 2: Convert to fraction form
    10,557.75/14,563.33 = 6,972.73/x
  3. Step 3: Cross multiply
    10,557.75x = 14,563.33 × 6,972.73
  4. Step 4: Simplify right side
    10,557.75x = 101,546,167.99
  5. Step 5: Solve for x
    x = 101,546,167.99/10,557.75
  6. Step 6: Final answer
    x = 9,618.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.