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Finding the Fourth Proportional to 11,547.83, 17,324.37 and 3,650.30

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Solution

The fourth proportional to 11,547.83, 17,324.37 and 3,650.30 is: 5,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.83 : 17,324.37 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    11,547.83/17,324.37 = 3,650.30/x
  3. Step 3: Cross multiply
    11,547.83x = 17,324.37 × 3,650.30
  4. Step 4: Simplify right side
    11,547.83x = 63,239,061.19
  5. Step 5: Solve for x
    x = 63,239,061.19/11,547.83
  6. Step 6: Final answer
    x = 5,476.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.