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Finding the Fourth Proportional to 10,354.53, 14,290.26 and 6,377.97

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Solution

The fourth proportional to 10,354.53, 14,290.26 and 6,377.97 is: 8,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.53 : 14,290.26 = 6,377.97 : x
  2. Step 2: Convert to fraction form
    10,354.53/14,290.26 = 6,377.97/x
  3. Step 3: Cross multiply
    10,354.53x = 14,290.26 × 6,377.97
  4. Step 4: Simplify right side
    10,354.53x = 91,142,849.57
  5. Step 5: Solve for x
    x = 91,142,849.57/10,354.53
  6. Step 6: Final answer
    x = 8,802.22

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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.