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Finding the Fourth Proportional to 11,574.72, 17,362.96 and 4,649.28

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Solution

The fourth proportional to 11,574.72, 17,362.96 and 4,649.28 is: 6,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.72 : 17,362.96 = 4,649.28 : x
  2. Step 2: Convert to fraction form
    11,574.72/17,362.96 = 4,649.28/x
  3. Step 3: Cross multiply
    11,574.72x = 17,362.96 × 4,649.28
  4. Step 4: Simplify right side
    11,574.72x = 80,725,262.67
  5. Step 5: Solve for x
    x = 80,725,262.67/11,574.72
  6. Step 6: Final answer
    x = 6,974.27

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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.