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Finding the Fourth Proportional to 7,409.25, 11,113.88 and 2,214.99

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Solution

The fourth proportional to 7,409.25, 11,113.88 and 2,214.99 is: 3,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.25 : 11,113.88 = 2,214.99 : x
  2. Step 2: Convert to fraction form
    7,409.25/11,113.88 = 2,214.99/x
  3. Step 3: Cross multiply
    7,409.25x = 11,113.88 × 2,214.99
  4. Step 4: Simplify right side
    7,409.25x = 24,617,121.99
  5. Step 5: Solve for x
    x = 24,617,121.99/7,409.25
  6. Step 6: Final answer
    x = 3,322.49

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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.