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Finding the Fourth Proportional to 11,547.33, 17,323.62 and 3,649.80

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Solution

The fourth proportional to 11,547.33, 17,323.62 and 3,649.80 is: 5,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.33 : 17,323.62 = 3,649.80 : x
  2. Step 2: Convert to fraction form
    11,547.33/17,323.62 = 3,649.80/x
  3. Step 3: Cross multiply
    11,547.33x = 17,323.62 × 3,649.80
  4. Step 4: Simplify right side
    11,547.33x = 63,227,748.28
  5. Step 5: Solve for x
    x = 63,227,748.28/11,547.33
  6. Step 6: Final answer
    x = 5,475.53

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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.