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Finding the Fourth Proportional to 8,672.03, 11,967.44 and 4,693.14

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Solution

The fourth proportional to 8,672.03, 11,967.44 and 4,693.14 is: 6,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.03 : 11,967.44 = 4,693.14 : x
  2. Step 2: Convert to fraction form
    8,672.03/11,967.44 = 4,693.14/x
  3. Step 3: Cross multiply
    8,672.03x = 11,967.44 × 4,693.14
  4. Step 4: Simplify right side
    8,672.03x = 56,164,894.75
  5. Step 5: Solve for x
    x = 56,164,894.75/8,672.03
  6. Step 6: Final answer
    x = 6,476.56

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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.