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Finding the Fourth Proportional to 11,871.14, 17,800.13 and 4,856.08

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Solution

The fourth proportional to 11,871.14, 17,800.13 and 4,856.08 is: 7,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.14 : 17,800.13 = 4,856.08 : x
  2. Step 2: Convert to fraction form
    11,871.14/17,800.13 = 4,856.08/x
  3. Step 3: Cross multiply
    11,871.14x = 17,800.13 × 4,856.08
  4. Step 4: Simplify right side
    11,871.14x = 86,438,856.31
  5. Step 5: Solve for x
    x = 86,438,856.31/11,871.14
  6. Step 6: Final answer
    x = 7,281.43

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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.