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Finding the Fourth Proportional to 10,592.81, 14,618.54 and 6,344.56

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Solution

The fourth proportional to 10,592.81, 14,618.54 and 6,344.56 is: 8,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.81 : 14,618.54 = 6,344.56 : x
  2. Step 2: Convert to fraction form
    10,592.81/14,618.54 = 6,344.56/x
  3. Step 3: Cross multiply
    10,592.81x = 14,618.54 × 6,344.56
  4. Step 4: Simplify right side
    10,592.81x = 92,748,190.69
  5. Step 5: Solve for x
    x = 92,748,190.69/10,592.81
  6. Step 6: Final answer
    x = 8,755.77

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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.