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Finding the Fourth Proportional to 7,814.61, 11,716.25 and 3,652.29

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Solution

The fourth proportional to 7,814.61, 11,716.25 and 3,652.29 is: 5,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.61 : 11,716.25 = 3,652.29 : x
  2. Step 2: Convert to fraction form
    7,814.61/11,716.25 = 3,652.29/x
  3. Step 3: Cross multiply
    7,814.61x = 11,716.25 × 3,652.29
  4. Step 4: Simplify right side
    7,814.61x = 42,791,124.45
  5. Step 5: Solve for x
    x = 42,791,124.45/7,814.61
  6. Step 6: Final answer
    x = 5,475.79

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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.