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Finding the Fourth Proportional to 12,762.70, 17,611.50 and 7,456.93

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Solution

The fourth proportional to 12,762.70, 17,611.50 and 7,456.93 is: 10,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.70 : 17,611.50 = 7,456.93 : x
  2. Step 2: Convert to fraction form
    12,762.70/17,611.50 = 7,456.93/x
  3. Step 3: Cross multiply
    12,762.70x = 17,611.50 × 7,456.93
  4. Step 4: Simplify right side
    12,762.70x = 131,327,722.70
  5. Step 5: Solve for x
    x = 131,327,722.70/12,762.70
  6. Step 6: Final answer
    x = 10,289.96

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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.