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Finding the Fourth Proportional to 10,353.44, 14,290.97 and 5,880.17

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Solution

The fourth proportional to 10,353.44, 14,290.97 and 5,880.17 is: 8,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.44 : 14,290.97 = 5,880.17 : x
  2. Step 2: Convert to fraction form
    10,353.44/14,290.97 = 5,880.17/x
  3. Step 3: Cross multiply
    10,353.44x = 14,290.97 × 5,880.17
  4. Step 4: Simplify right side
    10,353.44x = 84,033,333.06
  5. Step 5: Solve for x
    x = 84,033,333.06/10,353.44
  6. Step 6: Final answer
    x = 8,116.46

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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.