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Finding the Fourth Proportional to 10,871.54, 16,303.05 and 3,848.84

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Solution

The fourth proportional to 10,871.54, 16,303.05 and 3,848.84 is: 5,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.54 : 16,303.05 = 3,848.84 : x
  2. Step 2: Convert to fraction form
    10,871.54/16,303.05 = 3,848.84/x
  3. Step 3: Cross multiply
    10,871.54x = 16,303.05 × 3,848.84
  4. Step 4: Simplify right side
    10,871.54x = 62,747,830.96
  5. Step 5: Solve for x
    x = 62,747,830.96/10,871.54
  6. Step 6: Final answer
    x = 5,771.75

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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.