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Finding the Fourth Proportional to 10,448.40, 14,419.02 and 5,732.69

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Solution

The fourth proportional to 10,448.40, 14,419.02 and 5,732.69 is: 7,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.40 : 14,419.02 = 5,732.69 : x
  2. Step 2: Convert to fraction form
    10,448.40/14,419.02 = 5,732.69/x
  3. Step 3: Cross multiply
    10,448.40x = 14,419.02 × 5,732.69
  4. Step 4: Simplify right side
    10,448.40x = 82,659,699.67
  5. Step 5: Solve for x
    x = 82,659,699.67/10,448.40
  6. Step 6: Final answer
    x = 7,911.23

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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.