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Finding the Fourth Proportional to 11,772.52, 17,666.46 and 5,617

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Solution

The fourth proportional to 11,772.52, 17,666.46 and 5,617 is: 8,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.52 : 17,666.46 = 5,617 : x
  2. Step 2: Convert to fraction form
    11,772.52/17,666.46 = 5,617/x
  3. Step 3: Cross multiply
    11,772.52x = 17,666.46 × 5,617
  4. Step 4: Simplify right side
    11,772.52x = 99,232,505.82
  5. Step 5: Solve for x
    x = 99,232,505.82/11,772.52
  6. Step 6: Final answer
    x = 8,429.16

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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.