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Finding the Fourth Proportional to 10,871.64, 16,312.93 and 8,103.87

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Solution

The fourth proportional to 10,871.64, 16,312.93 and 8,103.87 is: 12,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.64 : 16,312.93 = 8,103.87 : x
  2. Step 2: Convert to fraction form
    10,871.64/16,312.93 = 8,103.87/x
  3. Step 3: Cross multiply
    10,871.64x = 16,312.93 × 8,103.87
  4. Step 4: Simplify right side
    10,871.64x = 132,197,741.96
  5. Step 5: Solve for x
    x = 132,197,741.96/10,871.64
  6. Step 6: Final answer
    x = 12,159.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.