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Finding the Fourth Proportional to 10,448.64, 15,661.26 and 7,975.26

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Solution

The fourth proportional to 10,448.64, 15,661.26 and 7,975.26 is: 11,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.64 : 15,661.26 = 7,975.26 : x
  2. Step 2: Convert to fraction form
    10,448.64/15,661.26 = 7,975.26/x
  3. Step 3: Cross multiply
    10,448.64x = 15,661.26 × 7,975.26
  4. Step 4: Simplify right side
    10,448.64x = 124,902,620.43
  5. Step 5: Solve for x
    x = 124,902,620.43/10,448.64
  6. Step 6: Final answer
    x = 11,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.