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Finding the Fourth Proportional to 10,489.22, 15,733.85 and 7,192.32

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Solution

The fourth proportional to 10,489.22, 15,733.85 and 7,192.32 is: 10,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.22 : 15,733.85 = 7,192.32 : x
  2. Step 2: Convert to fraction form
    10,489.22/15,733.85 = 7,192.32/x
  3. Step 3: Cross multiply
    10,489.22x = 15,733.85 × 7,192.32
  4. Step 4: Simplify right side
    10,489.22x = 113,162,848.07
  5. Step 5: Solve for x
    x = 113,162,848.07/10,489.22
  6. Step 6: Final answer
    x = 10,788.49

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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.