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Finding the Fourth Proportional to 10,810.90, 14,920.25 and 6,338.44

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Solution

The fourth proportional to 10,810.90, 14,920.25 and 6,338.44 is: 8,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.90 : 14,920.25 = 6,338.44 : x
  2. Step 2: Convert to fraction form
    10,810.90/14,920.25 = 6,338.44/x
  3. Step 3: Cross multiply
    10,810.90x = 14,920.25 × 6,338.44
  4. Step 4: Simplify right side
    10,810.90x = 94,571,048.10
  5. Step 5: Solve for x
    x = 94,571,048.10/10,810.90
  6. Step 6: Final answer
    x = 8,747.75

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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.