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Finding the Fourth Proportional to 8,933.34, 13,404.48 and 4,006.50

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Solution

The fourth proportional to 8,933.34, 13,404.48 and 4,006.50 is: 6,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.34 : 13,404.48 = 4,006.50 : x
  2. Step 2: Convert to fraction form
    8,933.34/13,404.48 = 4,006.50/x
  3. Step 3: Cross multiply
    8,933.34x = 13,404.48 × 4,006.50
  4. Step 4: Simplify right side
    8,933.34x = 53,705,049.12
  5. Step 5: Solve for x
    x = 53,705,049.12/8,933.34
  6. Step 6: Final answer
    x = 6,011.75

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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.