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Finding the Fourth Proportional to 11,547, 17,323.44 and 3,227.02

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Solution

The fourth proportional to 11,547, 17,323.44 and 3,227.02 is: 4,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 17,323.44 = 3,227.02 : x
  2. Step 2: Convert to fraction form
    11,547/17,323.44 = 3,227.02/x
  3. Step 3: Cross multiply
    11,547x = 17,323.44 × 3,227.02
  4. Step 4: Simplify right side
    11,547x = 55,903,087.35
  5. Step 5: Solve for x
    x = 55,903,087.35/11,547
  6. Step 6: Final answer
    x = 4,841.35

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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.