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Finding the Fourth Proportional to 11,532, 17,307.72 and 6,269.16

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Solution

The fourth proportional to 11,532, 17,307.72 and 6,269.16 is: 9,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532 : 17,307.72 = 6,269.16 : x
  2. Step 2: Convert to fraction form
    11,532/17,307.72 = 6,269.16/x
  3. Step 3: Cross multiply
    11,532x = 17,307.72 × 6,269.16
  4. Step 4: Simplify right side
    11,532x = 108,504,865.92
  5. Step 5: Solve for x
    x = 108,504,865.92/11,532
  6. Step 6: Final answer
    x = 9,409.02

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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.