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Finding the Fourth Proportional to 11,485.64, 17,211.72 and 4,902.50

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Solution

The fourth proportional to 11,485.64, 17,211.72 and 4,902.50 is: 7,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.64 : 17,211.72 = 4,902.50 : x
  2. Step 2: Convert to fraction form
    11,485.64/17,211.72 = 4,902.50/x
  3. Step 3: Cross multiply
    11,485.64x = 17,211.72 × 4,902.50
  4. Step 4: Simplify right side
    11,485.64x = 84,380,457.30
  5. Step 5: Solve for x
    x = 84,380,457.30/11,485.64
  6. Step 6: Final answer
    x = 7,346.60

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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.