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Finding the Fourth Proportional to 11,137.92, 15,370.16 and 6,102

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Solution

The fourth proportional to 11,137.92, 15,370.16 and 6,102 is: 8,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.92 : 15,370.16 = 6,102 : x
  2. Step 2: Convert to fraction form
    11,137.92/15,370.16 = 6,102/x
  3. Step 3: Cross multiply
    11,137.92x = 15,370.16 × 6,102
  4. Step 4: Simplify right side
    11,137.92x = 93,788,716.32
  5. Step 5: Solve for x
    x = 93,788,716.32/11,137.92
  6. Step 6: Final answer
    x = 8,420.67

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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.