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Finding the Fourth Proportional to 10,254.47, 14,136.73 and 7,739.42

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Solution

The fourth proportional to 10,254.47, 14,136.73 and 7,739.42 is: 10,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.47 : 14,136.73 = 7,739.42 : x
  2. Step 2: Convert to fraction form
    10,254.47/14,136.73 = 7,739.42/x
  3. Step 3: Cross multiply
    10,254.47x = 14,136.73 × 7,739.42
  4. Step 4: Simplify right side
    10,254.47x = 109,410,000.86
  5. Step 5: Solve for x
    x = 109,410,000.86/10,254.47
  6. Step 6: Final answer
    x = 10,669.50

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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.