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Finding the Fourth Proportional to 11,338.50, 17,009.28 and 3,547.92

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Solution

The fourth proportional to 11,338.50, 17,009.28 and 3,547.92 is: 5,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.50 : 17,009.28 = 3,547.92 : x
  2. Step 2: Convert to fraction form
    11,338.50/17,009.28 = 3,547.92/x
  3. Step 3: Cross multiply
    11,338.50x = 17,009.28 × 3,547.92
  4. Step 4: Simplify right side
    11,338.50x = 60,347,564.70
  5. Step 5: Solve for x
    x = 60,347,564.70/11,338.50
  6. Step 6: Final answer
    x = 5,322.36

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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.