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Finding the Fourth Proportional to 11,507.85, 17,261.91 and 3,716.64

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Solution

The fourth proportional to 11,507.85, 17,261.91 and 3,716.64 is: 5,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.85 : 17,261.91 = 3,716.64 : x
  2. Step 2: Convert to fraction form
    11,507.85/17,261.91 = 3,716.64/x
  3. Step 3: Cross multiply
    11,507.85x = 17,261.91 × 3,716.64
  4. Step 4: Simplify right side
    11,507.85x = 64,156,305.18
  5. Step 5: Solve for x
    x = 64,156,305.18/11,507.85
  6. Step 6: Final answer
    x = 5,575.00

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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.