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Finding the Fourth Proportional to 10,427.82, 14,391.18 and 5,952.93

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Solution

The fourth proportional to 10,427.82, 14,391.18 and 5,952.93 is: 8,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.82 : 14,391.18 = 5,952.93 : x
  2. Step 2: Convert to fraction form
    10,427.82/14,391.18 = 5,952.93/x
  3. Step 3: Cross multiply
    10,427.82x = 14,391.18 × 5,952.93
  4. Step 4: Simplify right side
    10,427.82x = 85,669,687.16
  5. Step 5: Solve for x
    x = 85,669,687.16/10,427.82
  6. Step 6: Final answer
    x = 8,215.49

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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.