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Finding the Fourth Proportional to 11,578, 17,367.86 and 4,652.52

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Solution

The fourth proportional to 11,578, 17,367.86 and 4,652.52 is: 6,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578 : 17,367.86 = 4,652.52 : x
  2. Step 2: Convert to fraction form
    11,578/17,367.86 = 4,652.52/x
  3. Step 3: Cross multiply
    11,578x = 17,367.86 × 4,652.52
  4. Step 4: Simplify right side
    11,578x = 80,804,316.01
  5. Step 5: Solve for x
    x = 80,804,316.01/11,578
  6. Step 6: Final answer
    x = 6,979.13

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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.