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Finding the Fourth Proportional to 7,770.46, 11,659.34 and 3,875.17

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Solution

The fourth proportional to 7,770.46, 11,659.34 and 3,875.17 is: 5,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.46 : 11,659.34 = 3,875.17 : x
  2. Step 2: Convert to fraction form
    7,770.46/11,659.34 = 3,875.17/x
  3. Step 3: Cross multiply
    7,770.46x = 11,659.34 × 3,875.17
  4. Step 4: Simplify right side
    7,770.46x = 45,181,924.59
  5. Step 5: Solve for x
    x = 45,181,924.59/7,770.46
  6. Step 6: Final answer
    x = 5,814.58

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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.