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Finding the Fourth Proportional to 10,354.97, 14,290.01 and 5,639.25

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Solution

The fourth proportional to 10,354.97, 14,290.01 and 5,639.25 is: 7,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.97 : 14,290.01 = 5,639.25 : x
  2. Step 2: Convert to fraction form
    10,354.97/14,290.01 = 5,639.25/x
  3. Step 3: Cross multiply
    10,354.97x = 14,290.01 × 5,639.25
  4. Step 4: Simplify right side
    10,354.97x = 80,584,952.99
  5. Step 5: Solve for x
    x = 80,584,952.99/10,354.97
  6. Step 6: Final answer
    x = 7,782.25

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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.