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Finding the Fourth Proportional to 10,473, 14,452.74 and 5,757.60

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Solution

The fourth proportional to 10,473, 14,452.74 and 5,757.60 is: 7,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473 : 14,452.74 = 5,757.60 : x
  2. Step 2: Convert to fraction form
    10,473/14,452.74 = 5,757.60/x
  3. Step 3: Cross multiply
    10,473x = 14,452.74 × 5,757.60
  4. Step 4: Simplify right side
    10,473x = 83,213,095.82
  5. Step 5: Solve for x
    x = 83,213,095.82/10,473
  6. Step 6: Final answer
    x = 7,945.49

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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.