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Finding the Fourth Proportional to 7,856.55, 11,767.41 and 4,561.47

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Solution

The fourth proportional to 7,856.55, 11,767.41 and 4,561.47 is: 6,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.55 : 11,767.41 = 4,561.47 : x
  2. Step 2: Convert to fraction form
    7,856.55/11,767.41 = 4,561.47/x
  3. Step 3: Cross multiply
    7,856.55x = 11,767.41 × 4,561.47
  4. Step 4: Simplify right side
    7,856.55x = 53,676,687.69
  5. Step 5: Solve for x
    x = 53,676,687.69/7,856.55
  6. Step 6: Final answer
    x = 6,832.09

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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.