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Finding the Fourth Proportional to 11,657.36, 17,482.20 and 4,260.56

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Solution

The fourth proportional to 11,657.36, 17,482.20 and 4,260.56 is: 6,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.36 : 17,482.20 = 4,260.56 : x
  2. Step 2: Convert to fraction form
    11,657.36/17,482.20 = 4,260.56/x
  3. Step 3: Cross multiply
    11,657.36x = 17,482.20 × 4,260.56
  4. Step 4: Simplify right side
    11,657.36x = 74,483,962.03
  5. Step 5: Solve for x
    x = 74,483,962.03/11,657.36
  6. Step 6: Final answer
    x = 6,389.44

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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.