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Finding the Fourth Proportional to 10,425.80, 14,386.23 and 5,949.29

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Solution

The fourth proportional to 10,425.80, 14,386.23 and 5,949.29 is: 8,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.80 : 14,386.23 = 5,949.29 : x
  2. Step 2: Convert to fraction form
    10,425.80/14,386.23 = 5,949.29/x
  3. Step 3: Cross multiply
    10,425.80x = 14,386.23 × 5,949.29
  4. Step 4: Simplify right side
    10,425.80x = 85,587,782.35
  5. Step 5: Solve for x
    x = 85,587,782.35/10,425.80
  6. Step 6: Final answer
    x = 8,209.23

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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.