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Finding the Fourth Proportional to 7,153.36, 10,725.72 and 3,203.88

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Solution

The fourth proportional to 7,153.36, 10,725.72 and 3,203.88 is: 4,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.36 : 10,725.72 = 3,203.88 : x
  2. Step 2: Convert to fraction form
    7,153.36/10,725.72 = 3,203.88/x
  3. Step 3: Cross multiply
    7,153.36x = 10,725.72 × 3,203.88
  4. Step 4: Simplify right side
    7,153.36x = 34,363,919.79
  5. Step 5: Solve for x
    x = 34,363,919.79/7,153.36
  6. Step 6: Final answer
    x = 4,803.89

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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.