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Finding the Fourth Proportional to 7,237.25, 10,849.72 and 6,892.80

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Solution

The fourth proportional to 7,237.25, 10,849.72 and 6,892.80 is: 10,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.25 : 10,849.72 = 6,892.80 : x
  2. Step 2: Convert to fraction form
    7,237.25/10,849.72 = 6,892.80/x
  3. Step 3: Cross multiply
    7,237.25x = 10,849.72 × 6,892.80
  4. Step 4: Simplify right side
    7,237.25x = 74,784,950.02
  5. Step 5: Solve for x
    x = 74,784,950.02/7,237.25
  6. Step 6: Final answer
    x = 10,333.34

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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.