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Finding the Fourth Proportional to 7,223.01, 10,825.65 and 4,105.63

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Solution

The fourth proportional to 7,223.01, 10,825.65 and 4,105.63 is: 6,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.01 : 10,825.65 = 4,105.63 : x
  2. Step 2: Convert to fraction form
    7,223.01/10,825.65 = 4,105.63/x
  3. Step 3: Cross multiply
    7,223.01x = 10,825.65 × 4,105.63
  4. Step 4: Simplify right side
    7,223.01x = 44,446,059.28
  5. Step 5: Solve for x
    x = 44,446,059.28/7,223.01
  6. Step 6: Final answer
    x = 6,153.40

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