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Finding the Fourth Proportional to 7,512.96, 11,256.14 and 6,698.46

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Solution

The fourth proportional to 7,512.96, 11,256.14 and 6,698.46 is: 10,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.96 : 11,256.14 = 6,698.46 : x
  2. Step 2: Convert to fraction form
    7,512.96/11,256.14 = 6,698.46/x
  3. Step 3: Cross multiply
    7,512.96x = 11,256.14 × 6,698.46
  4. Step 4: Simplify right side
    7,512.96x = 75,398,803.54
  5. Step 5: Solve for x
    x = 75,398,803.54/7,512.96
  6. Step 6: Final answer
    x = 10,035.83

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