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Finding the Fourth Proportional to 7,734.96, 10,666.08 and 5,494.50

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Solution

The fourth proportional to 7,734.96, 10,666.08 and 5,494.50 is: 7,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.96 : 10,666.08 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    7,734.96/10,666.08 = 5,494.50/x
  3. Step 3: Cross multiply
    7,734.96x = 10,666.08 × 5,494.50
  4. Step 4: Simplify right side
    7,734.96x = 58,604,776.56
  5. Step 5: Solve for x
    x = 58,604,776.56/7,734.96
  6. Step 6: Final answer
    x = 7,576.61

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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.