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Finding the Fourth Proportional to 7,756.63, 10,705.24 and 4,400.27

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Solution

The fourth proportional to 7,756.63, 10,705.24 and 4,400.27 is: 6,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.63 : 10,705.24 = 4,400.27 : x
  2. Step 2: Convert to fraction form
    7,756.63/10,705.24 = 4,400.27/x
  3. Step 3: Cross multiply
    7,756.63x = 10,705.24 × 4,400.27
  4. Step 4: Simplify right side
    7,756.63x = 47,105,938.53
  5. Step 5: Solve for x
    x = 47,105,938.53/7,756.63
  6. Step 6: Final answer
    x = 6,072.99

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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.