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Finding the Fourth Proportional to 10,304.96, 14,220.83 and 5,589.24

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Solution

The fourth proportional to 10,304.96, 14,220.83 and 5,589.24 is: 7,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.96 : 14,220.83 = 5,589.24 : x
  2. Step 2: Convert to fraction form
    10,304.96/14,220.83 = 5,589.24/x
  3. Step 3: Cross multiply
    10,304.96x = 14,220.83 × 5,589.24
  4. Step 4: Simplify right side
    10,304.96x = 79,483,603.92
  5. Step 5: Solve for x
    x = 79,483,603.92/10,304.96
  6. Step 6: Final answer
    x = 7,713.14

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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.