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Finding the Fourth Proportional to 11,608.30, 17,400.54 and 4,585.47

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Solution

The fourth proportional to 11,608.30, 17,400.54 and 4,585.47 is: 6,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.30 : 17,400.54 = 4,585.47 : x
  2. Step 2: Convert to fraction form
    11,608.30/17,400.54 = 4,585.47/x
  3. Step 3: Cross multiply
    11,608.30x = 17,400.54 × 4,585.47
  4. Step 4: Simplify right side
    11,608.30x = 79,789,631.23
  5. Step 5: Solve for x
    x = 79,789,631.23/11,608.30
  6. Step 6: Final answer
    x = 6,873.50

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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.