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Finding the Fourth Proportional to 11,547.14, 17,324.13 and 4,884.29

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Solution

The fourth proportional to 11,547.14, 17,324.13 and 4,884.29 is: 7,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.14 : 17,324.13 = 4,884.29 : x
  2. Step 2: Convert to fraction form
    11,547.14/17,324.13 = 4,884.29/x
  3. Step 3: Cross multiply
    11,547.14x = 17,324.13 × 4,884.29
  4. Step 4: Simplify right side
    11,547.14x = 84,616,074.92
  5. Step 5: Solve for x
    x = 84,616,074.92/11,547.14
  6. Step 6: Final answer
    x = 7,327.88

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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.