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Finding the Fourth Proportional to 7,766.49, 11,642.13 and 3,084.93

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Solution

The fourth proportional to 7,766.49, 11,642.13 and 3,084.93 is: 4,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.49 : 11,642.13 = 3,084.93 : x
  2. Step 2: Convert to fraction form
    7,766.49/11,642.13 = 3,084.93/x
  3. Step 3: Cross multiply
    7,766.49x = 11,642.13 × 3,084.93
  4. Step 4: Simplify right side
    7,766.49x = 35,915,156.10
  5. Step 5: Solve for x
    x = 35,915,156.10/7,766.49
  6. Step 6: Final answer
    x = 4,624.37

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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.