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Finding the Fourth Proportional to 10,537.84, 14,539.92 and 6,286.96

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Solution

The fourth proportional to 10,537.84, 14,539.92 and 6,286.96 is: 8,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.84 : 14,539.92 = 6,286.96 : x
  2. Step 2: Convert to fraction form
    10,537.84/14,539.92 = 6,286.96/x
  3. Step 3: Cross multiply
    10,537.84x = 14,539.92 × 6,286.96
  4. Step 4: Simplify right side
    10,537.84x = 91,411,822.74
  5. Step 5: Solve for x
    x = 91,411,822.74/10,537.84
  6. Step 6: Final answer
    x = 8,674.63

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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.