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Finding the Fourth Proportional to 10,571.73, 14,565.49 and 6,980.29

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Solution

The fourth proportional to 10,571.73, 14,565.49 and 6,980.29 is: 9,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.73 : 14,565.49 = 6,980.29 : x
  2. Step 2: Convert to fraction form
    10,571.73/14,565.49 = 6,980.29/x
  3. Step 3: Cross multiply
    10,571.73x = 14,565.49 × 6,980.29
  4. Step 4: Simplify right side
    10,571.73x = 101,671,344.19
  5. Step 5: Solve for x
    x = 101,671,344.19/10,571.73
  6. Step 6: Final answer
    x = 9,617.29

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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.