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Finding the Fourth Proportional to 11,138.21, 15,370.05 and 6,358.70

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Solution

The fourth proportional to 11,138.21, 15,370.05 and 6,358.70 is: 8,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.21 : 15,370.05 = 6,358.70 : x
  2. Step 2: Convert to fraction form
    11,138.21/15,370.05 = 6,358.70/x
  3. Step 3: Cross multiply
    11,138.21x = 15,370.05 × 6,358.70
  4. Step 4: Simplify right side
    11,138.21x = 97,733,599.21
  5. Step 5: Solve for x
    x = 97,733,599.21/11,138.21
  6. Step 6: Final answer
    x = 8,774.62

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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.