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Finding the Fourth Proportional to 7,688.55, 11,532.48 and 2,141.77

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Solution

The fourth proportional to 7,688.55, 11,532.48 and 2,141.77 is: 3,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.55 : 11,532.48 = 2,141.77 : x
  2. Step 2: Convert to fraction form
    7,688.55/11,532.48 = 2,141.77/x
  3. Step 3: Cross multiply
    7,688.55x = 11,532.48 × 2,141.77
  4. Step 4: Simplify right side
    7,688.55x = 24,699,872.02
  5. Step 5: Solve for x
    x = 24,699,872.02/7,688.55
  6. Step 6: Final answer
    x = 3,212.55

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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.