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Finding the Fourth Proportional to 7,482.14, 11,223.67 and 3,099.94

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Solution

The fourth proportional to 7,482.14, 11,223.67 and 3,099.94 is: 4,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.14 : 11,223.67 = 3,099.94 : x
  2. Step 2: Convert to fraction form
    7,482.14/11,223.67 = 3,099.94/x
  3. Step 3: Cross multiply
    7,482.14x = 11,223.67 × 3,099.94
  4. Step 4: Simplify right side
    7,482.14x = 34,792,703.58
  5. Step 5: Solve for x
    x = 34,792,703.58/7,482.14
  6. Step 6: Final answer
    x = 4,650.10

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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.