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Finding the Fourth Proportional to 7,827.33, 11,748.69 and 5,741.40

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Solution

The fourth proportional to 7,827.33, 11,748.69 and 5,741.40 is: 8,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.33 : 11,748.69 = 5,741.40 : x
  2. Step 2: Convert to fraction form
    7,827.33/11,748.69 = 5,741.40/x
  3. Step 3: Cross multiply
    7,827.33x = 11,748.69 × 5,741.40
  4. Step 4: Simplify right side
    7,827.33x = 67,453,972.82
  5. Step 5: Solve for x
    x = 67,453,972.82/7,827.33
  6. Step 6: Final answer
    x = 8,617.75

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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.