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Finding the Fourth Proportional to 10,975.01, 16,430.20 and 6,801.61

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Solution

The fourth proportional to 10,975.01, 16,430.20 and 6,801.61 is: 10,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.01 : 16,430.20 = 6,801.61 : x
  2. Step 2: Convert to fraction form
    10,975.01/16,430.20 = 6,801.61/x
  3. Step 3: Cross multiply
    10,975.01x = 16,430.20 × 6,801.61
  4. Step 4: Simplify right side
    10,975.01x = 111,751,812.62
  5. Step 5: Solve for x
    x = 111,751,812.62/10,975.01
  6. Step 6: Final answer
    x = 10,182.39

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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.