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Finding the Fourth Proportional to 11,137.87, 15,370.43 and 6,102.57

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Solution

The fourth proportional to 11,137.87, 15,370.43 and 6,102.57 is: 8,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.87 : 15,370.43 = 6,102.57 : x
  2. Step 2: Convert to fraction form
    11,137.87/15,370.43 = 6,102.57/x
  3. Step 3: Cross multiply
    11,137.87x = 15,370.43 × 6,102.57
  4. Step 4: Simplify right side
    11,137.87x = 93,799,152.13
  5. Step 5: Solve for x
    x = 93,799,152.13/11,137.87
  6. Step 6: Final answer
    x = 8,421.64

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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.