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Finding the Fourth Proportional to 11,509.68, 17,262.01 and 4,114.65

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Solution

The fourth proportional to 11,509.68, 17,262.01 and 4,114.65 is: 6,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.68 : 17,262.01 = 4,114.65 : x
  2. Step 2: Convert to fraction form
    11,509.68/17,262.01 = 4,114.65/x
  3. Step 3: Cross multiply
    11,509.68x = 17,262.01 × 4,114.65
  4. Step 4: Simplify right side
    11,509.68x = 71,027,129.45
  5. Step 5: Solve for x
    x = 71,027,129.45/11,509.68
  6. Step 6: Final answer
    x = 6,171.08

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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.