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Finding the Fourth Proportional to 11,671.50, 17,510.28 and 6,123.36

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Solution

The fourth proportional to 11,671.50, 17,510.28 and 6,123.36 is: 9,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.50 : 17,510.28 = 6,123.36 : x
  2. Step 2: Convert to fraction form
    11,671.50/17,510.28 = 6,123.36/x
  3. Step 3: Cross multiply
    11,671.50x = 17,510.28 × 6,123.36
  4. Step 4: Simplify right side
    11,671.50x = 107,221,748.14
  5. Step 5: Solve for x
    x = 107,221,748.14/11,671.50
  6. Step 6: Final answer
    x = 9,186.63

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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.