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Finding the Fourth Proportional to 8,529.72, 11,771.10 and 4,993.01

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Solution

The fourth proportional to 8,529.72, 11,771.10 and 4,993.01 is: 6,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.72 : 11,771.10 = 4,993.01 : x
  2. Step 2: Convert to fraction form
    8,529.72/11,771.10 = 4,993.01/x
  3. Step 3: Cross multiply
    8,529.72x = 11,771.10 × 4,993.01
  4. Step 4: Simplify right side
    8,529.72x = 58,773,148.67
  5. Step 5: Solve for x
    x = 58,773,148.67/8,529.72
  6. Step 6: Final answer
    x = 6,890.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.