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Finding the Fourth Proportional to 7,660.84, 10,571.61 and 4,257.70

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Solution

The fourth proportional to 7,660.84, 10,571.61 and 4,257.70 is: 5,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.84 : 10,571.61 = 4,257.70 : x
  2. Step 2: Convert to fraction form
    7,660.84/10,571.61 = 4,257.70/x
  3. Step 3: Cross multiply
    7,660.84x = 10,571.61 × 4,257.70
  4. Step 4: Simplify right side
    7,660.84x = 45,010,675.07
  5. Step 5: Solve for x
    x = 45,010,675.07/7,660.84
  6. Step 6: Final answer
    x = 5,875.42

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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.