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Finding the Fourth Proportional to 10,707.01, 16,078.89 and 6,571.31

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Solution

The fourth proportional to 10,707.01, 16,078.89 and 6,571.31 is: 9,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.01 : 16,078.89 = 6,571.31 : x
  2. Step 2: Convert to fraction form
    10,707.01/16,078.89 = 6,571.31/x
  3. Step 3: Cross multiply
    10,707.01x = 16,078.89 × 6,571.31
  4. Step 4: Simplify right side
    10,707.01x = 105,659,314.89
  5. Step 5: Solve for x
    x = 105,659,314.89/10,707.01
  6. Step 6: Final answer
    x = 9,868.24

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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.