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Finding the Fourth Proportional to 7,382.18, 11,070.99 and 2,450.84

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Solution

The fourth proportional to 7,382.18, 11,070.99 and 2,450.84 is: 3,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.18 : 11,070.99 = 2,450.84 : x
  2. Step 2: Convert to fraction form
    7,382.18/11,070.99 = 2,450.84/x
  3. Step 3: Cross multiply
    7,382.18x = 11,070.99 × 2,450.84
  4. Step 4: Simplify right side
    7,382.18x = 27,133,225.13
  5. Step 5: Solve for x
    x = 27,133,225.13/7,382.18
  6. Step 6: Final answer
    x = 3,675.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.