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Finding the Fourth Proportional to 11,328.61, 15,635.48 and 8,471.67

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Solution

The fourth proportional to 11,328.61, 15,635.48 and 8,471.67 is: 11,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.61 : 15,635.48 = 8,471.67 : x
  2. Step 2: Convert to fraction form
    11,328.61/15,635.48 = 8,471.67/x
  3. Step 3: Cross multiply
    11,328.61x = 15,635.48 × 8,471.67
  4. Step 4: Simplify right side
    11,328.61x = 132,458,648.03
  5. Step 5: Solve for x
    x = 132,458,648.03/11,328.61
  6. Step 6: Final answer
    x = 11,692.40

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Why These Related Problems?

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