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Finding the Fourth Proportional to 7,767.89, 10,774.60 and 7,487.68

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Solution

The fourth proportional to 7,767.89, 10,774.60 and 7,487.68 is: 10,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.89 : 10,774.60 = 7,487.68 : x
  2. Step 2: Convert to fraction form
    7,767.89/10,774.60 = 7,487.68/x
  3. Step 3: Cross multiply
    7,767.89x = 10,774.60 × 7,487.68
  4. Step 4: Simplify right side
    7,767.89x = 80,676,756.93
  5. Step 5: Solve for x
    x = 80,676,756.93/7,767.89
  6. Step 6: Final answer
    x = 10,385.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.