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Finding the Fourth Proportional to 7,409.30, 10,225.80 and 4,223.75

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Solution

The fourth proportional to 7,409.30, 10,225.80 and 4,223.75 is: 5,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.30 : 10,225.80 = 4,223.75 : x
  2. Step 2: Convert to fraction form
    7,409.30/10,225.80 = 4,223.75/x
  3. Step 3: Cross multiply
    7,409.30x = 10,225.80 × 4,223.75
  4. Step 4: Simplify right side
    7,409.30x = 43,191,171.62
  5. Step 5: Solve for x
    x = 43,191,171.62/7,409.30
  6. Step 6: Final answer
    x = 5,829.32

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