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Finding the Fourth Proportional to 7,759.41, 10,700.54 and 5,212.94

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Solution

The fourth proportional to 7,759.41, 10,700.54 and 5,212.94 is: 7,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.41 : 10,700.54 = 5,212.94 : x
  2. Step 2: Convert to fraction form
    7,759.41/10,700.54 = 5,212.94/x
  3. Step 3: Cross multiply
    7,759.41x = 10,700.54 × 5,212.94
  4. Step 4: Simplify right side
    7,759.41x = 55,781,193.42
  5. Step 5: Solve for x
    x = 55,781,193.42/7,759.41
  6. Step 6: Final answer
    x = 7,188.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.