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Finding the Fourth Proportional to 11,607.50, 17,388.19 and 5,746.22

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Solution

The fourth proportional to 11,607.50, 17,388.19 and 5,746.22 is: 8,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.50 : 17,388.19 = 5,746.22 : x
  2. Step 2: Convert to fraction form
    11,607.50/17,388.19 = 5,746.22/x
  3. Step 3: Cross multiply
    11,607.50x = 17,388.19 × 5,746.22
  4. Step 4: Simplify right side
    11,607.50x = 99,916,365.14
  5. Step 5: Solve for x
    x = 99,916,365.14/11,607.50
  6. Step 6: Final answer
    x = 8,607.91

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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.