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Finding the Fourth Proportional to 11,397.90, 17,098.74 and 4,000.44

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Solution

The fourth proportional to 11,397.90, 17,098.74 and 4,000.44 is: 6,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.90 : 17,098.74 = 4,000.44 : x
  2. Step 2: Convert to fraction form
    11,397.90/17,098.74 = 4,000.44/x
  3. Step 3: Cross multiply
    11,397.90x = 17,098.74 × 4,000.44
  4. Step 4: Simplify right side
    11,397.90x = 68,402,483.45
  5. Step 5: Solve for x
    x = 68,402,483.45/11,397.90
  6. Step 6: Final answer
    x = 6,001.32

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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.