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Finding the Fourth Proportional to 11,563.48, 17,346 and 5,718.52

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Solution

The fourth proportional to 11,563.48, 17,346 and 5,718.52 is: 8,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.48 : 17,346 = 5,718.52 : x
  2. Step 2: Convert to fraction form
    11,563.48/17,346 = 5,718.52/x
  3. Step 3: Cross multiply
    11,563.48x = 17,346 × 5,718.52
  4. Step 4: Simplify right side
    11,563.48x = 99,193,447.92
  5. Step 5: Solve for x
    x = 99,193,447.92/11,563.48
  6. Step 6: Final answer
    x = 8,578.17

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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.