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Finding the Fourth Proportional to 11,274.99, 15,470.75 and 10,648.05

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Solution

The fourth proportional to 11,274.99, 15,470.75 and 10,648.05 is: 14,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.99 : 15,470.75 = 10,648.05 : x
  2. Step 2: Convert to fraction form
    11,274.99/15,470.75 = 10,648.05/x
  3. Step 3: Cross multiply
    11,274.99x = 15,470.75 × 10,648.05
  4. Step 4: Simplify right side
    11,274.99x = 164,733,319.54
  5. Step 5: Solve for x
    x = 164,733,319.54/11,274.99
  6. Step 6: Final answer
    x = 14,610.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.