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Finding the Fourth Proportional to 11,770.64, 17,655.04 and 5,532.02

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Solution

The fourth proportional to 11,770.64, 17,655.04 and 5,532.02 is: 8,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.64 : 17,655.04 = 5,532.02 : x
  2. Step 2: Convert to fraction form
    11,770.64/17,655.04 = 5,532.02/x
  3. Step 3: Cross multiply
    11,770.64x = 17,655.04 × 5,532.02
  4. Step 4: Simplify right side
    11,770.64x = 97,668,034.38
  5. Step 5: Solve for x
    x = 97,668,034.38/11,770.64
  6. Step 6: Final answer
    x = 8,297.60

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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.