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Finding the Fourth Proportional to 11,412, 17,117.44 and 4,395.36

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Solution

The fourth proportional to 11,412, 17,117.44 and 4,395.36 is: 6,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 17,117.44 = 4,395.36 : x
  2. Step 2: Convert to fraction form
    11,412/17,117.44 = 4,395.36/x
  3. Step 3: Cross multiply
    11,412x = 17,117.44 × 4,395.36
  4. Step 4: Simplify right side
    11,412x = 75,237,311.08
  5. Step 5: Solve for x
    x = 75,237,311.08/11,412
  6. Step 6: Final answer
    x = 6,592.82

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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.