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Finding the Fourth Proportional to 10,338.90, 14,267.94 and 5,623.20

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Solution

The fourth proportional to 10,338.90, 14,267.94 and 5,623.20 is: 7,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.90 : 14,267.94 = 5,623.20 : x
  2. Step 2: Convert to fraction form
    10,338.90/14,267.94 = 5,623.20/x
  3. Step 3: Cross multiply
    10,338.90x = 14,267.94 × 5,623.20
  4. Step 4: Simplify right side
    10,338.90x = 80,231,480.21
  5. Step 5: Solve for x
    x = 80,231,480.21/10,338.90
  6. Step 6: Final answer
    x = 7,760.16

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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.