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Finding the Fourth Proportional to 7,776.84, 11,682.54 and 6,740.04

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Solution

The fourth proportional to 7,776.84, 11,682.54 and 6,740.04 is: 10,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.84 : 11,682.54 = 6,740.04 : x
  2. Step 2: Convert to fraction form
    7,776.84/11,682.54 = 6,740.04/x
  3. Step 3: Cross multiply
    7,776.84x = 11,682.54 × 6,740.04
  4. Step 4: Simplify right side
    7,776.84x = 78,740,786.90
  5. Step 5: Solve for x
    x = 78,740,786.90/7,776.84
  6. Step 6: Final answer
    x = 10,125.04

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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.