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Finding the Fourth Proportional to 10,802.73, 14,901.32 and 7,969.20

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Solution

The fourth proportional to 10,802.73, 14,901.32 and 7,969.20 is: 10,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.73 : 14,901.32 = 7,969.20 : x
  2. Step 2: Convert to fraction form
    10,802.73/14,901.32 = 7,969.20/x
  3. Step 3: Cross multiply
    10,802.73x = 14,901.32 × 7,969.20
  4. Step 4: Simplify right side
    10,802.73x = 118,751,559.50
  5. Step 5: Solve for x
    x = 118,751,559.50/10,802.73
  6. Step 6: Final answer
    x = 10,992.74

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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.