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Finding the Fourth Proportional to 10,871.02, 16,306.53 and 5,675.68

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Solution

The fourth proportional to 10,871.02, 16,306.53 and 5,675.68 is: 8,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.02 : 16,306.53 = 5,675.68 : x
  2. Step 2: Convert to fraction form
    10,871.02/16,306.53 = 5,675.68/x
  3. Step 3: Cross multiply
    10,871.02x = 16,306.53 × 5,675.68
  4. Step 4: Simplify right side
    10,871.02x = 92,550,646.19
  5. Step 5: Solve for x
    x = 92,550,646.19/10,871.02
  6. Step 6: Final answer
    x = 8,513.52

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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.