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Finding the Fourth Proportional to 7,409.25, 10,225.05 and 4,052.30

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Solution

The fourth proportional to 7,409.25, 10,225.05 and 4,052.30 is: 5,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.25 : 10,225.05 = 4,052.30 : x
  2. Step 2: Convert to fraction form
    7,409.25/10,225.05 = 4,052.30/x
  3. Step 3: Cross multiply
    7,409.25x = 10,225.05 × 4,052.30
  4. Step 4: Simplify right side
    7,409.25x = 41,434,918.99
  5. Step 5: Solve for x
    x = 41,434,918.99/7,409.25
  6. Step 6: Final answer
    x = 5,592.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.