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Finding the Fourth Proportional to 10,474.51, 14,453.97 and 6,166.92

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Solution

The fourth proportional to 10,474.51, 14,453.97 and 6,166.92 is: 8,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.51 : 14,453.97 = 6,166.92 : x
  2. Step 2: Convert to fraction form
    10,474.51/14,453.97 = 6,166.92/x
  3. Step 3: Cross multiply
    10,474.51x = 14,453.97 × 6,166.92
  4. Step 4: Simplify right side
    10,474.51x = 89,136,445.84
  5. Step 5: Solve for x
    x = 89,136,445.84/10,474.51
  6. Step 6: Final answer
    x = 8,509.84

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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.