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Finding the Fourth Proportional to 10,871.79, 16,295.08 and 5,016.21

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Solution

The fourth proportional to 10,871.79, 16,295.08 and 5,016.21 is: 7,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.79 : 16,295.08 = 5,016.21 : x
  2. Step 2: Convert to fraction form
    10,871.79/16,295.08 = 5,016.21/x
  3. Step 3: Cross multiply
    10,871.79x = 16,295.08 × 5,016.21
  4. Step 4: Simplify right side
    10,871.79x = 81,739,543.25
  5. Step 5: Solve for x
    x = 81,739,543.25/10,871.79
  6. Step 6: Final answer
    x = 7,518.50

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Why These Related Problems?

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