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Finding the Fourth Proportional to 10,448.49, 14,419.92 and 5,972.64

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Solution

The fourth proportional to 10,448.49, 14,419.92 and 5,972.64 is: 8,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.49 : 14,419.92 = 5,972.64 : x
  2. Step 2: Convert to fraction form
    10,448.49/14,419.92 = 5,972.64/x
  3. Step 3: Cross multiply
    10,448.49x = 14,419.92 × 5,972.64
  4. Step 4: Simplify right side
    10,448.49x = 86,124,959.31
  5. Step 5: Solve for x
    x = 86,124,959.31/10,448.49
  6. Step 6: Final answer
    x = 8,242.81

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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.