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Finding the Fourth Proportional to 11,339.66, 17,000.42 and 5,714.30

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Solution

The fourth proportional to 11,339.66, 17,000.42 and 5,714.30 is: 8,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.66 : 17,000.42 = 5,714.30 : x
  2. Step 2: Convert to fraction form
    11,339.66/17,000.42 = 5,714.30/x
  3. Step 3: Cross multiply
    11,339.66x = 17,000.42 × 5,714.30
  4. Step 4: Simplify right side
    11,339.66x = 97,145,386.43
  5. Step 5: Solve for x
    x = 97,145,386.43/11,339.66
  6. Step 6: Final answer
    x = 8,566.87

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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.