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Finding the Fourth Proportional to 11,496.30, 17,244.45 and 4,935.30

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Solution

The fourth proportional to 11,496.30, 17,244.45 and 4,935.30 is: 7,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.30 : 17,244.45 = 4,935.30 : x
  2. Step 2: Convert to fraction form
    11,496.30/17,244.45 = 4,935.30/x
  3. Step 3: Cross multiply
    11,496.30x = 17,244.45 × 4,935.30
  4. Step 4: Simplify right side
    11,496.30x = 85,106,534.09
  5. Step 5: Solve for x
    x = 85,106,534.09/11,496.30
  6. Step 6: Final answer
    x = 7,402.95

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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.