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Finding the Fourth Proportional to 37,800, 56,683.62 and 11,498.64

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Solution

The fourth proportional to 37,800, 56,683.62 and 11,498.64 is: 17,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800 : 56,683.62 = 11,498.64 : x
  2. Step 2: Convert to fraction form
    37,800/56,683.62 = 11,498.64/x
  3. Step 3: Cross multiply
    37,800x = 56,683.62 × 11,498.64
  4. Step 4: Simplify right side
    37,800x = 651,784,540.28
  5. Step 5: Solve for x
    x = 651,784,540.28/37,800
  6. Step 6: Final answer
    x = 17,242.98

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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.