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Finding the Fourth Proportional to 10,871.30, 16,298.98 and 3,471.50

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Solution

The fourth proportional to 10,871.30, 16,298.98 and 3,471.50 is: 5,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.30 : 16,298.98 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    10,871.30/16,298.98 = 3,471.50/x
  3. Step 3: Cross multiply
    10,871.30x = 16,298.98 × 3,471.50
  4. Step 4: Simplify right side
    10,871.30x = 56,581,909.07
  5. Step 5: Solve for x
    x = 56,581,909.07/10,871.30
  6. Step 6: Final answer
    x = 5,204.70

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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.