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Finding the Fourth Proportional to 11,616.70, 17,425.23 and 7,458.52

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Solution

The fourth proportional to 11,616.70, 17,425.23 and 7,458.52 is: 11,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.70 : 17,425.23 = 7,458.52 : x
  2. Step 2: Convert to fraction form
    11,616.70/17,425.23 = 7,458.52/x
  3. Step 3: Cross multiply
    11,616.70x = 17,425.23 × 7,458.52
  4. Step 4: Simplify right side
    11,616.70x = 129,966,426.46
  5. Step 5: Solve for x
    x = 129,966,426.46/11,616.70
  6. Step 6: Final answer
    x = 11,187.90

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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.