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Finding the Fourth Proportional to 7,186.97, 10,776.62 and 6,356.04

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Solution

The fourth proportional to 7,186.97, 10,776.62 and 6,356.04 is: 9,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.97 : 10,776.62 = 6,356.04 : x
  2. Step 2: Convert to fraction form
    7,186.97/10,776.62 = 6,356.04/x
  3. Step 3: Cross multiply
    7,186.97x = 10,776.62 × 6,356.04
  4. Step 4: Simplify right side
    7,186.97x = 68,496,596.00
  5. Step 5: Solve for x
    x = 68,496,596.00/7,186.97
  6. Step 6: Final answer
    x = 9,530.67

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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.