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Finding the Fourth Proportional to 7,346.65, 11,074.19 and 6,917.98

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Solution

The fourth proportional to 7,346.65, 11,074.19 and 6,917.98 is: 10,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.65 : 11,074.19 = 6,917.98 : x
  2. Step 2: Convert to fraction form
    7,346.65/11,074.19 = 6,917.98/x
  3. Step 3: Cross multiply
    7,346.65x = 11,074.19 × 6,917.98
  4. Step 4: Simplify right side
    7,346.65x = 76,611,072.94
  5. Step 5: Solve for x
    x = 76,611,072.94/7,346.65
  6. Step 6: Final answer
    x = 10,428.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.