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Finding the Fourth Proportional to 10,369.82, 14,317.29 and 7,975.53

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Solution

The fourth proportional to 10,369.82, 14,317.29 and 7,975.53 is: 11,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.82 : 14,317.29 = 7,975.53 : x
  2. Step 2: Convert to fraction form
    10,369.82/14,317.29 = 7,975.53/x
  3. Step 3: Cross multiply
    10,369.82x = 14,317.29 × 7,975.53
  4. Step 4: Simplify right side
    10,369.82x = 114,187,975.91
  5. Step 5: Solve for x
    x = 114,187,975.91/10,369.82
  6. Step 6: Final answer
    x = 11,011.57

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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.