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Finding the Fourth Proportional to 11,426, 15,754.44 and 7,693.52

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Solution

The fourth proportional to 11,426, 15,754.44 and 7,693.52 is: 10,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426 : 15,754.44 = 7,693.52 : x
  2. Step 2: Convert to fraction form
    11,426/15,754.44 = 7,693.52/x
  3. Step 3: Cross multiply
    11,426x = 15,754.44 × 7,693.52
  4. Step 4: Simplify right side
    11,426x = 121,207,099.23
  5. Step 5: Solve for x
    x = 121,207,099.23/11,426
  6. Step 6: Final answer
    x = 10,608.01

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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.