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Finding the Fourth Proportional to 10,954.98, 15,112.71 and 7,969.50

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Solution

The fourth proportional to 10,954.98, 15,112.71 and 7,969.50 is: 10,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.98 : 15,112.71 = 7,969.50 : x
  2. Step 2: Convert to fraction form
    10,954.98/15,112.71 = 7,969.50/x
  3. Step 3: Cross multiply
    10,954.98x = 15,112.71 × 7,969.50
  4. Step 4: Simplify right side
    10,954.98x = 120,440,742.35
  5. Step 5: Solve for x
    x = 120,440,742.35/10,954.98
  6. Step 6: Final answer
    x = 10,994.15

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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.