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Finding the Fourth Proportional to 10,356.20, 14,290.22 and 5,880.37

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Solution

The fourth proportional to 10,356.20, 14,290.22 and 5,880.37 is: 8,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.20 : 14,290.22 = 5,880.37 : x
  2. Step 2: Convert to fraction form
    10,356.20/14,290.22 = 5,880.37/x
  3. Step 3: Cross multiply
    10,356.20x = 14,290.22 × 5,880.37
  4. Step 4: Simplify right side
    10,356.20x = 84,031,826.94
  5. Step 5: Solve for x
    x = 84,031,826.94/10,356.20
  6. Step 6: Final answer
    x = 8,114.15

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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.