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Finding the Fourth Proportional to 11,657.36, 17,490.36 and 5,420.72

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Solution

The fourth proportional to 11,657.36, 17,490.36 and 5,420.72 is: 8,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.36 : 17,490.36 = 5,420.72 : x
  2. Step 2: Convert to fraction form
    11,657.36/17,490.36 = 5,420.72/x
  3. Step 3: Cross multiply
    11,657.36x = 17,490.36 × 5,420.72
  4. Step 4: Simplify right side
    11,657.36x = 94,810,344.26
  5. Step 5: Solve for x
    x = 94,810,344.26/11,657.36
  6. Step 6: Final answer
    x = 8,133.09

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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.