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Finding the Fourth Proportional to 11,615.87, 17,412.64 and 3,714.05

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Solution

The fourth proportional to 11,615.87, 17,412.64 and 3,714.05 is: 5,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.87 : 17,412.64 = 3,714.05 : x
  2. Step 2: Convert to fraction form
    11,615.87/17,412.64 = 3,714.05/x
  3. Step 3: Cross multiply
    11,615.87x = 17,412.64 × 3,714.05
  4. Step 4: Simplify right side
    11,615.87x = 64,671,449.84
  5. Step 5: Solve for x
    x = 64,671,449.84/11,615.87
  6. Step 6: Final answer
    x = 5,567.51

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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.