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Finding the Fourth Proportional to 11,563.72, 17,320.38 and 6,000.28

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Solution

The fourth proportional to 11,563.72, 17,320.38 and 6,000.28 is: 8,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.72 : 17,320.38 = 6,000.28 : x
  2. Step 2: Convert to fraction form
    11,563.72/17,320.38 = 6,000.28/x
  3. Step 3: Cross multiply
    11,563.72x = 17,320.38 × 6,000.28
  4. Step 4: Simplify right side
    11,563.72x = 103,927,129.71
  5. Step 5: Solve for x
    x = 103,927,129.71/11,563.72
  6. Step 6: Final answer
    x = 8,987.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.