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Finding the Fourth Proportional to 10,489, 14,474.82 and 5,773.26

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Solution

The fourth proportional to 10,489, 14,474.82 and 5,773.26 is: 7,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489 : 14,474.82 = 5,773.26 : x
  2. Step 2: Convert to fraction form
    10,489/14,474.82 = 5,773.26/x
  3. Step 3: Cross multiply
    10,489x = 14,474.82 × 5,773.26
  4. Step 4: Simplify right side
    10,489x = 83,566,899.31
  5. Step 5: Solve for x
    x = 83,566,899.31/10,489
  6. Step 6: Final answer
    x = 7,967.10

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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.