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Finding the Fourth Proportional to 10,224.13, 14,109.44 and 5,747.62

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Solution

The fourth proportional to 10,224.13, 14,109.44 and 5,747.62 is: 7,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.13 : 14,109.44 = 5,747.62 : x
  2. Step 2: Convert to fraction form
    10,224.13/14,109.44 = 5,747.62/x
  3. Step 3: Cross multiply
    10,224.13x = 14,109.44 × 5,747.62
  4. Step 4: Simplify right side
    10,224.13x = 81,095,699.53
  5. Step 5: Solve for x
    x = 81,095,699.53/10,224.13
  6. Step 6: Final answer
    x = 7,931.79

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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.