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Finding the Fourth Proportional to 10,199.35, 14,089.44 and 7,871.41

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Solution

The fourth proportional to 10,199.35, 14,089.44 and 7,871.41 is: 10,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.35 : 14,089.44 = 7,871.41 : x
  2. Step 2: Convert to fraction form
    10,199.35/14,089.44 = 7,871.41/x
  3. Step 3: Cross multiply
    10,199.35x = 14,089.44 × 7,871.41
  4. Step 4: Simplify right side
    10,199.35x = 110,903,758.91
  5. Step 5: Solve for x
    x = 110,903,758.91/10,199.35
  6. Step 6: Final answer
    x = 10,873.61

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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.