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Finding the Fourth Proportional to 11,576.04, 17,364 and 3,679.32

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Solution

The fourth proportional to 11,576.04, 17,364 and 3,679.32 is: 5,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.04 : 17,364 = 3,679.32 : x
  2. Step 2: Convert to fraction form
    11,576.04/17,364 = 3,679.32/x
  3. Step 3: Cross multiply
    11,576.04x = 17,364 × 3,679.32
  4. Step 4: Simplify right side
    11,576.04x = 63,887,712.48
  5. Step 5: Solve for x
    x = 63,887,712.48/11,576.04
  6. Step 6: Final answer
    x = 5,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.