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Finding the Fourth Proportional to 10,571.81, 14,572.09 and 7,167.71

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Solution

The fourth proportional to 10,571.81, 14,572.09 and 7,167.71 is: 9,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.81 : 14,572.09 = 7,167.71 : x
  2. Step 2: Convert to fraction form
    10,571.81/14,572.09 = 7,167.71/x
  3. Step 3: Cross multiply
    10,571.81x = 14,572.09 × 7,167.71
  4. Step 4: Simplify right side
    10,571.81x = 104,448,533.72
  5. Step 5: Solve for x
    x = 104,448,533.72/10,571.81
  6. Step 6: Final answer
    x = 9,879.91

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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.