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Finding the Fourth Proportional to 10,617.68, 15,893.64 and 9,043.04

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Solution

The fourth proportional to 10,617.68, 15,893.64 and 9,043.04 is: 13,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.68 : 15,893.64 = 9,043.04 : x
  2. Step 2: Convert to fraction form
    10,617.68/15,893.64 = 9,043.04/x
  3. Step 3: Cross multiply
    10,617.68x = 15,893.64 × 9,043.04
  4. Step 4: Simplify right side
    10,617.68x = 143,726,822.27
  5. Step 5: Solve for x
    x = 143,726,822.27/10,617.68
  6. Step 6: Final answer
    x = 13,536.56

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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.