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Finding the Fourth Proportional to 11,137.53, 15,369.69 and 6,101.70

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Solution

The fourth proportional to 11,137.53, 15,369.69 and 6,101.70 is: 8,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.53 : 15,369.69 = 6,101.70 : x
  2. Step 2: Convert to fraction form
    11,137.53/15,369.69 = 6,101.70/x
  3. Step 3: Cross multiply
    11,137.53x = 15,369.69 × 6,101.70
  4. Step 4: Simplify right side
    11,137.53x = 93,781,237.47
  5. Step 5: Solve for x
    x = 93,781,237.47/11,137.53
  6. Step 6: Final answer
    x = 8,420.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.