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Finding the Fourth Proportional to 10,448.43, 14,410.78 and 7,261.69

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Solution

The fourth proportional to 10,448.43, 14,410.78 and 7,261.69 is: 10,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.43 : 14,410.78 = 7,261.69 : x
  2. Step 2: Convert to fraction form
    10,448.43/14,410.78 = 7,261.69/x
  3. Step 3: Cross multiply
    10,448.43x = 14,410.78 × 7,261.69
  4. Step 4: Simplify right side
    10,448.43x = 104,646,617.02
  5. Step 5: Solve for x
    x = 104,646,617.02/10,448.43
  6. Step 6: Final answer
    x = 10,015.54

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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.