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Finding the Fourth Proportional to 11,354.16, 17,031.36 and 5,349.84

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Solution

The fourth proportional to 11,354.16, 17,031.36 and 5,349.84 is: 8,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.16 : 17,031.36 = 5,349.84 : x
  2. Step 2: Convert to fraction form
    11,354.16/17,031.36 = 5,349.84/x
  3. Step 3: Cross multiply
    11,354.16x = 17,031.36 × 5,349.84
  4. Step 4: Simplify right side
    11,354.16x = 91,115,050.98
  5. Step 5: Solve for x
    x = 91,115,050.98/11,354.16
  6. Step 6: Final answer
    x = 8,024.82

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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.