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Finding the Fourth Proportional to 8,532.03, 11,773.65 and 4,946.42

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Solution

The fourth proportional to 8,532.03, 11,773.65 and 4,946.42 is: 6,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.03 : 11,773.65 = 4,946.42 : x
  2. Step 2: Convert to fraction form
    8,532.03/11,773.65 = 4,946.42/x
  3. Step 3: Cross multiply
    8,532.03x = 11,773.65 × 4,946.42
  4. Step 4: Simplify right side
    8,532.03x = 58,237,399.59
  5. Step 5: Solve for x
    x = 58,237,399.59/8,532.03
  6. Step 6: Final answer
    x = 6,825.73

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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.