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Finding the Fourth Proportional to 11,568.92, 17,358.62 and 4,547

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Solution

The fourth proportional to 11,568.92, 17,358.62 and 4,547 is: 6,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.92 : 17,358.62 = 4,547 : x
  2. Step 2: Convert to fraction form
    11,568.92/17,358.62 = 4,547/x
  3. Step 3: Cross multiply
    11,568.92x = 17,358.62 × 4,547
  4. Step 4: Simplify right side
    11,568.92x = 78,929,645.14
  5. Step 5: Solve for x
    x = 78,929,645.14/11,568.92
  6. Step 6: Final answer
    x = 6,822.56

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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.