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Finding the Fourth Proportional to 7,744.59, 10,684.08 and 5,225.94

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Solution

The fourth proportional to 7,744.59, 10,684.08 and 5,225.94 is: 7,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.59 : 10,684.08 = 5,225.94 : x
  2. Step 2: Convert to fraction form
    7,744.59/10,684.08 = 5,225.94/x
  3. Step 3: Cross multiply
    7,744.59x = 10,684.08 × 5,225.94
  4. Step 4: Simplify right side
    7,744.59x = 55,834,361.04
  5. Step 5: Solve for x
    x = 55,834,361.04/7,744.59
  6. Step 6: Final answer
    x = 7,209.47

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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.