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Finding the Fourth Proportional to 7,805.79, 11,710.41 and 3,643.52

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Solution

The fourth proportional to 7,805.79, 11,710.41 and 3,643.52 is: 5,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.79 : 11,710.41 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    7,805.79/11,710.41 = 3,643.52/x
  3. Step 3: Cross multiply
    7,805.79x = 11,710.41 × 3,643.52
  4. Step 4: Simplify right side
    7,805.79x = 42,667,149.88
  5. Step 5: Solve for x
    x = 42,667,149.88/7,805.79
  6. Step 6: Final answer
    x = 5,466.09

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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.