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Finding the Fourth Proportional to 12,871.45, 17,762.79 and 7,835.88

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Solution

The fourth proportional to 12,871.45, 17,762.79 and 7,835.88 is: 10,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.45 : 17,762.79 = 7,835.88 : x
  2. Step 2: Convert to fraction form
    12,871.45/17,762.79 = 7,835.88/x
  3. Step 3: Cross multiply
    12,871.45x = 17,762.79 × 7,835.88
  4. Step 4: Simplify right side
    12,871.45x = 139,187,090.91
  5. Step 5: Solve for x
    x = 139,187,090.91/12,871.45
  6. Step 6: Final answer
    x = 10,813.63

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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.