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Finding the Fourth Proportional to 5,709.08, 8,563.10 and 2,011.12

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Solution

The fourth proportional to 5,709.08, 8,563.10 and 2,011.12 is: 3,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.08 : 8,563.10 = 2,011.12 : x
  2. Step 2: Convert to fraction form
    5,709.08/8,563.10 = 2,011.12/x
  3. Step 3: Cross multiply
    5,709.08x = 8,563.10 × 2,011.12
  4. Step 4: Simplify right side
    5,709.08x = 17,221,421.67
  5. Step 5: Solve for x
    x = 17,221,421.67/5,709.08
  6. Step 6: Final answer
    x = 3,016.50

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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.