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Finding the Fourth Proportional to 10,474.81, 14,451.63 and 6,494.47

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Solution

The fourth proportional to 10,474.81, 14,451.63 and 6,494.47 is: 8,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.81 : 14,451.63 = 6,494.47 : x
  2. Step 2: Convert to fraction form
    10,474.81/14,451.63 = 6,494.47/x
  3. Step 3: Cross multiply
    10,474.81x = 14,451.63 × 6,494.47
  4. Step 4: Simplify right side
    10,474.81x = 93,855,677.49
  5. Step 5: Solve for x
    x = 93,855,677.49/10,474.81
  6. Step 6: Final answer
    x = 8,960.13

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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.