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Finding the Fourth Proportional to 10,698.66, 14,763.96 and 5,918.43

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Solution

The fourth proportional to 10,698.66, 14,763.96 and 5,918.43 is: 8,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.66 : 14,763.96 = 5,918.43 : x
  2. Step 2: Convert to fraction form
    10,698.66/14,763.96 = 5,918.43/x
  3. Step 3: Cross multiply
    10,698.66x = 14,763.96 × 5,918.43
  4. Step 4: Simplify right side
    10,698.66x = 87,379,463.78
  5. Step 5: Solve for x
    x = 87,379,463.78/10,698.66
  6. Step 6: Final answer
    x = 8,167.33

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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.