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Finding the Fourth Proportional to 11,632.88, 16,048.08 and 6,914.48

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Solution

The fourth proportional to 11,632.88, 16,048.08 and 6,914.48 is: 9,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.88 : 16,048.08 = 6,914.48 : x
  2. Step 2: Convert to fraction form
    11,632.88/16,048.08 = 6,914.48/x
  3. Step 3: Cross multiply
    11,632.88x = 16,048.08 × 6,914.48
  4. Step 4: Simplify right side
    11,632.88x = 110,964,128.20
  5. Step 5: Solve for x
    x = 110,964,128.20/11,632.88
  6. Step 6: Final answer
    x = 9,538.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.