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Finding the Fourth Proportional to 10,681.90, 14,739.59 and 5,965.34

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Solution

The fourth proportional to 10,681.90, 14,739.59 and 5,965.34 is: 8,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.90 : 14,739.59 = 5,965.34 : x
  2. Step 2: Convert to fraction form
    10,681.90/14,739.59 = 5,965.34/x
  3. Step 3: Cross multiply
    10,681.90x = 14,739.59 × 5,965.34
  4. Step 4: Simplify right side
    10,681.90x = 87,926,665.81
  5. Step 5: Solve for x
    x = 87,926,665.81/10,681.90
  6. Step 6: Final answer
    x = 8,231.37

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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.