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Finding the Fourth Proportional to 10,448.60, 14,418.61 and 5,732.98

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Solution

The fourth proportional to 10,448.60, 14,418.61 and 5,732.98 is: 7,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.60 : 14,418.61 = 5,732.98 : x
  2. Step 2: Convert to fraction form
    10,448.60/14,418.61 = 5,732.98/x
  3. Step 3: Cross multiply
    10,448.60x = 14,418.61 × 5,732.98
  4. Step 4: Simplify right side
    10,448.60x = 82,661,552.38
  5. Step 5: Solve for x
    x = 82,661,552.38/10,448.60
  6. Step 6: Final answer
    x = 7,911.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.